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

bin | 111111111111111111… |

… | …1000000000000000000 |

3 | 111010202100010220210001 |

4 | 1333333333000000000 |

5 | 4222433301110303 |

6 | 143045524045344 |

7 | 12633600413041 |

oct | 1777777000000 |

9 | 433670126701 |

10 | 137438691328 |

11 | 53318616014 |

12 | 22777b33854 |

13 | cc64048033 |

14 | 691b3bc8c8 |

15 | 3895e3531d |

hex | 1ffffc0000 |

137438691328 has 38 divisors (see below), whose sum is σ = 274877382656. Its totient is φ = 68719214592.

The previous prime is 137438691319. The next prime is 137438691329. The reversal of 137438691328 is 823196834731.

137438691328 is a nontrivial binomial coefficient, being equal to C(524288, 2).

It is a harmonic number, since the harmonic mean of its divisors is an integer.

It is a nialpdrome in base 2.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137438691329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1 + ... + 524287.

Almost surely, 2^{137438691328} is an apocalyptic number.

137438691328 is the 524287-th triangular number and also the 262144-th hexagonal number.

137438691328 is the 174763-rd centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137438691328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137438691328).

137438691328 is a perfect number, since it is equal to the sum of its proper divisors.

137438691328 is an frugal number, since it uses more digits than its factorization.

137438691328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524323 (or 524289 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 55.

The spelling of 137438691328 in words is "one hundred thirty-seven billion, four hundred thirty-eight million, six hundred ninety-one thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 2048 4096 8192 16384 32768 65536 131072 262144 524287 1048574 2097148 4194296 8388592 16777184 33554368 67108736 134217472 268434944 536869888 1073739776 2147479552 4294959104 8589918208 17179836416 34359672832 68719345664 137438691328

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