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

bin | 1101011111110010100… |

… | …00000000000000000001 |

3 | 1122100000001200112200001 |

4 | 12233321100000000001 |

5 | 30044221231044021 |

6 | 553012442400001 |

7 | 45334663226461 |

oct | 6577120000001 |

9 | 1570001615601 |

10 | 463743221761 |

11 | 169743a60366 |

12 | 75a62800001 |

13 | 34966743241 |

14 | 18633c47ba1 |

15 | c0e2a9e091 |

hex | 6bf9400001 |

463743221761 has 6 divisors (see below), whose sum is σ = 463856467970. Its totient is φ = 463630000128.

The previous prime is 463743221701. The next prime is 463743221771. The reversal of 463743221761 is 167122347364.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 440157941136 + 23585280625 = 663444^2 + 153575^2 .

It is not a de Polignac number, because 463743221761 - 2^{7} = 463743221633 is a prime.

It is a super-4 number, since 4×463743221761^{4} (a number of 48 digits) contains 4444 as substring. Note that it is a super-*d* number also for *d* = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (463743221701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 37730305 + ... + 37742593.

It is a 4095-hyperperfect number.

It is a Proth number, since it is equal to 110565 ⋅ 2^{22} + 1 and 110565 < 2^{22}.

Almost surely, 2^{463743221761} is an apocalyptic number.

It is an amenable number.

463743221761 is a deficient number, since it is larger than the sum of its proper divisors (113246209).

463743221761 is an frugal number, since it uses more digits than its factorization.

463743221761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24575 (or 18432 counting only the distinct ones).

The product of its digits is 1016064, while the sum is 46.

The spelling of 463743221761 in words is "four hundred sixty-three billion, seven hundred forty-three million, two hundred twenty-one thousand, seven hundred sixty-one".

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