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

bin | 11010001110010111111111… |

… | …10011011011001000110011 |

3 | 21120012001112111022100210220 |

4 | 31013023333303123020303 |

5 | 30024320113240233200 |

6 | 322352315322024123 |

7 | 15101261515052460 |

oct | 1507137763331063 |

9 | 246161474270726 |

10 | 57668522586675 |

11 | 174140a0648550 |

12 | 6574667648043 |

13 | 262417000ba80 |

14 | 10352583d6667 |

15 | 6a0155c554a0 |

hex | 3472ffcdb233 |

57668522586675 has 384 divisors, whose sum is σ = 130305533245440. Its totient is φ = 21728010240000.

The previous prime is 57668522586659. The next prime is 57668522586691.

It is a happy number.

57668522586675 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (57668522586659) and next prime (57668522586691).

It is not a de Polignac number, because 57668522586675 - 2^{4} = 57668522586659 is a prime.

It is a self number, because there is not a number *n* which added to its sum of digits gives 57668522586675.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 3246909795 + ... + 3246927555.

It is an arithmetic number, because the mean of its divisors is an integer number (339337326160).

Almost surely, 2^{57668522586675} is an apocalyptic number.

57668522586675 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

57668522586675 is an abundant number, since it is smaller than the sum of its proper divisors (72637010658765).

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

57668522586675 is a wasteful number, since it uses less digits than its factorization.

57668522586675 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18575 (or 18570 counting only the distinct ones).

The product of its digits is 10160640000, while the sum is 78.

The spelling of 57668522586675 in words is "fifty-seven trillion, six hundred sixty-eight billion, five hundred twenty-two million, five hundred eighty-six thousand, six hundred seventy-five".

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