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

bin | 11011000000110110000… |

… | …00010011100000000101 |

3 | 10021201202111002011110102 |

4 | 31200123000103200011 |

5 | 110201340444010040 |

6 | 1550221002333445 |

7 | 124025550555332 |

oct | 15403300234005 |

9 | 3251674064412 |

10 | 928166000645 |

11 | 3286a6567a84 |

12 | 12ba74aba285 |

13 | 696aabb8990 |

14 | 32cd0027989 |

15 | 19225133515 |

hex | d81b013805 |

928166000645 has 32 divisors (see below), whose sum is σ = 1232900615520. Its totient is φ = 666345415680.

The previous prime is 928166000639. The next prime is 928166000651. The reversal of 928166000645 is 546000661829.

It is an interprime number because it is at equal distance from previous prime (928166000639) and next prime (928166000651).

It can be written as a sum of positive squares in 16 ways, for example, as 14662061569 + 913503939076 = 121087^2 + 955774^2 .

It is not a de Polignac number, because 928166000645 - 2^{18} = 928165738501 is a prime.

It is a super-2 number, since 2×928166000645^{2} (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number *n* which added to its sum of digits gives 928166000645.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2798735 + ... + 3112755.

It is an arithmetic number, because the mean of its divisors is an integer number (38528144235).

It is the magic constant of a 12290 × 12290 magic square.

Almost surely, 2^{928166000645} is an apocalyptic number.

It is an amenable number.

928166000645 is a deficient number, since it is larger than the sum of its proper divisors (304734614875).

928166000645 is a wasteful number, since it uses less digits than its factorization.

928166000645 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315305.

The product of its (nonzero) digits is 622080, while the sum is 47.

The spelling of 928166000645 in words is "nine hundred twenty-eight billion, one hundred sixty-six million, six hundred forty-five", and thus it is an aban number.

Divisors: 1 5 13 37 65 185 481 1229 2405 6145 15977 45473 79885 227365 314021 591149 1570105 2955745 4082273 11618777 20411365 58093885 151044101 385931809 755220505 1929659045 5017113517 14279476933 25085567585 71397384665 185633200129 928166000645

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