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107614934964 = 22341719537933
BaseRepresentation
bin110010000111001011…
…0011001011110110100
3101021202212111010020000
41210032112121132310
53230343410404324
6121234305311300
710526540566035
oct1441626313664
9337685433200
10107614934964
1141703909489
1218a34035530
13a1c0340114
1452cc530a8c
152beca219c9
hex190e5997b4

107614934964 has 60 divisors (see below), whose sum is σ = 297875341764. Its totient is φ = 33761546496.

The previous prime is 107614934957. The next prime is 107614935013. The reversal of 107614934964 is 469439416701.

107614934964 is a `hidden beast` number, since 1 + 0 + 7 + 6 + 149 + 3 + 496 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 75538124964 + 32076810000 = 274842^2 + 179100^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 107614934964.

It is a congruent number.

It is an unprimeable number.

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 in 19 ways as a sum of consecutive naturals, for example, 9763459 + ... + 9774474.

Almost surely, 2107614934964 is an apocalyptic number.

It is an amenable number.

107614934964 is an abundant number, since it is smaller than the sum of its proper divisors (190260406800).

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

107614934964 is a wasteful number, since it uses less digits than its factorization.

107614934964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19537966 (or 19537955 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 107614934964 in words is "one hundred seven billion, six hundred fourteen million, nine hundred thirty-four thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 81 102 108 153 162 204 306 324 459 612 918 1377 1836 2754 5508 19537933 39075866 58613799 78151732 117227598 175841397 234455196 332144861 351682794 527524191 664289722 703365588 996434583 1055048382 1328579444 1582572573 1992869166 2110096764 2989303749 3165145146 3985738332 5978607498 6330290292 8967911247 11957214996 17935822494 26903733741 35871644988 53807467482 107614934964