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

bin | 1000000000000000000… |

… | …0000000000000000001 |

3 | 111010202100122020101010 |

4 | 2000000000000000001 |

5 | 4222433333002343 |

6 | 143045533431133 |

7 | 12633602554233 |

oct | 2000000000001 |

9 | 433670566333 |

10 | 137438953473 |

11 | 53318784a68 |

12 | 2277803b4a9 |

13 | cc6410a453 |

14 | 691b44a253 |

15 | 3895e87d33 |

hex | 2000000001 |

137438953473 has 8 divisors (see below), whose sum is σ = 183355069408. Its totient is φ = 91574403264.

The previous prime is 137438953447. The next prime is 137438953481. The reversal of 137438953473 is 374359834731.

137438953473 is nontrivially palindromic in base 2.

It is a Cunningham number, because it is equal to 2^{37}+1.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a Cullen number, since it is equal to 32×2^{32}+1.

It is not a de Polignac number, because 137438953473 - 2^{5} = 137438953441 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (137438953403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (2) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12885211 + ... + 12895872.

It is an arithmetic number, because the mean of its divisors is an integer number (22919383676).

It is a Proth number, since it is equal to 1 ⋅ 2^{37} + 1 and 1 < 2^{37}.

Almost surely, 2^{137438953473} is an apocalyptic number.

It is an amenable number.

137438953473 is a deficient number, since it is larger than the sum of its proper divisors (45916115935).

137438953473 is a wasteful number, since it uses less digits than its factorization.

137438953473 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25782863.

The product of its digits is 22861440, while the sum is 57.

The spelling of 137438953473 in words is "one hundred thirty-seven billion, four hundred thirty-eight million, nine hundred fifty-three thousand, four hundred seventy-three".

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