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562949953421312 = 2^{49}

Base | Representation |
---|---|

bin | 1000000000000000000000000… |

… | …0000000000000000000000000 |

3 | 2201211020111020011202211021102 |

4 | 2000000000000000000000000 |

5 | 1042241333001033440222 |

6 | 5313143345515513532 |

7 | 226401535432436642 |

oct | 20000000000000000 |

9 | 2654214204684242 |

10 | 562949953421312 |

11 | 1534118096a4316 |

12 | 5317b5804588a8 |

13 | 1b216c504742b2 |

14 | 9d02ccd0b2892 |

15 | 45139481edd92 |

hex | 2000000000000 |

It can be written as a sum of positive squares in only one way, i.e., 281474976710656 + 281474976710656 = 16777216^2 + 16777216^2 .

It is a perfect power (a 7-th power, a 49-th power), and thus also a powerful number.

It is a Jordan-Polya number, since it can be written as (2!)^{49}.

It is an ABA number since it can be written as A⋅B^{A}, here for A=2, B=16777216.

It is a Duffinian number.

Its product of digits (125971200) is a multiple of the sum of its prime divisors (2).

It is a nialpdrome in base 2, base 4, base 8 and base 16.

It is an unprimeable number.

In principle, a polygon with 562949953421312 sides can be constructed with ruler and compass.

It is an impolite number, since it cannot be written as a nontrivial sum of consecutive naturals.

Almost surely, 2^{562949953421312} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 562949953421312

562949953421312 is a deficient number, since it is larger than the sum of its proper divisors (562949953421311).

562949953421312 is an frugal number, since it uses more digits than its factorization.

562949953421312 is an odious number, because the sum of its binary digits is odd.

It has 50 divisors, whose sum is σ = 1125899906842623. Its totient is φ = 281474976710656.

The sum of its prime factors is 98 (or 2 counting only the distinct ones).

The product of its digits is 125971200, while the sum is 65.

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 2048 4096 8192 16384 32768 65536 131072 262144 524288 1048576 2097152 4194304 8388608 16777216 33554432 67108864 134217728 268435456 536870912 1073741824 2147483648 4294967296 8589934592 17179869184 34359738368 68719476736 137438953472 274877906944 549755813888 1099511627776 2199023255552 4398046511104 8796093022208 17592186044416 35184372088832 70368744177664 140737488355328 281474976710656 562949953421312

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