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106931924766972 = 2233990110414509
BaseRepresentation
bin11000010100000100000111…
…011001000001000011111100
3112000121120222200201100201000
4120110010013121001003330
5103003433040220020342
61015231503103450300
731344401531364354
oct3024040731010374
9460546880640630
10106931924766972
1131087635904358
12bbb01592b6990
13478883901c8a6
141c59765d05b64
15c5682885e44c
hex6141076410fc

106931924766972 has 24 divisors (see below), whose sum is σ = 277230916062800. Its totient is φ = 35643974922288.

The previous prime is 106931924766929. The next prime is 106931924767007. The reversal of 106931924766972 is 279667429139601.

106931924766972 is a `hidden beast` number, since 1 + 0 + 6 + 9 + 3 + 1 + 92 + 476 + 69 + 7 + 2 = 666.

It is a super-2 number, since 2×1069319247669722 (a number of 29 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 106931924766972.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 495055207147 + ... + 495055207362.

Almost surely, 2106931924766972 is an apocalyptic number.

106931924766972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106931924766972 is an abundant number, since it is smaller than the sum of its proper divisors (170298991295828).

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

106931924766972 is a wasteful number, since it uses less digits than its factorization.

106931924766972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 990110414522 (or 990110414514 counting only the distinct ones).

The product of its (nonzero) digits is 370355328, while the sum is 72.

The spelling of 106931924766972 in words is "one hundred six trillion, nine hundred thirty-one billion, nine hundred twenty-four million, seven hundred sixty-six thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 990110414509 1980220829018 2970331243527 3960441658036 5940662487054 8910993730581 11881324974108 17821987461162 26732981191743 35643974922324 53465962383486 106931924766972