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

bin | 100000010000000010… |

… | …0000000000000000000 |

3 | 20121202200000021000001 |

4 | 1000200010000000000 |

5 | 2113314343134344 |

6 | 51452202205344 |

7 | 5001156104032 |

oct | 1004004000000 |

9 | 217680007001 |

10 | 69257396224 |

11 | 2740aaa3945 |

12 | 1150a1b3854 |

13 | 66b963c533 |

14 | 34d014bc52 |

15 | 1c05324ed4 |

hex | 1020100000 |

69257396224 has 63 divisors (see below), whose sum is σ = 139055791357. Its totient is φ = 34493956096.

The previous prime is 69257396209. The next prime is 69257396249. The reversal of 69257396224 is 42269375296.

The square root of 69257396224 is 263168.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 68183654400 + 1073741824 = 261120^2 + 32768^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 269483904 + ... + 269484160.

Almost surely, 2^{69257396224} is an apocalyptic number.

69257396224 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

69257396224 is the 263168-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 69257396224

69257396224 is an abundant number, since it is smaller than the sum of its proper divisors (69798395133).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

69257396224 is an frugal number, since it uses more digits than its factorization.

69257396224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554 (or 259 counting only the distinct ones).

The product of its digits is 9797760, while the sum is 55.

The spelling of 69257396224 in words is "sixty-nine billion, two hundred fifty-seven million, three hundred ninety-six thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 32 64 128 256 257 512 514 1024 1028 2048 2056 4096 4112 8192 8224 16384 16448 32768 32896 65536 65792 66049 131072 131584 132098 262144 263168 264196 524288 526336 528392 1048576 1052672 1056784 2105344 2113568 4210688 4227136 8421376 8454272 16842752 16908544 33685504 33817088 67371008 67634176 134742016 135268352 269484032 270536704 541073408 1082146816 2164293632 4328587264 8657174528 17314349056 34628698112 69257396224

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