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129957434964 = 22337229750661
BaseRepresentation
bin111100100001000010…
…0010001011001010100
3110102102221211201101000
41321002010101121110
54112123100404324
6135411314503300
712250315654020
oct1710204213124
9412387751330
10129957434964
1150129647415
122122a594b30
13c341120616
14640b989380
1535a92569c9
hex1e42111654

129957434964 has 96 divisors (see below), whose sum is σ = 386741062400. Its totient is φ = 36968503680.

The previous prime is 129957434941. The next prime is 129957435001. The reversal of 129957434964 is 469434759921.

129957434964 is a `hidden beast` number, since 1 + 2 + 99 + 57 + 4 + 3 + 496 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 202207 + ... + 548454.

Almost surely, 2129957434964 is an apocalyptic number.

129957434964 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

129957434964 is an abundant number, since it is smaller than the sum of its proper divisors (256783627436).

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

129957434964 is a wasteful number, since it uses less digits than its factorization.

129957434964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 750910 (or 750902 counting only the distinct ones).

The product of its digits is 58786560, while the sum is 63.

The spelling of 129957434964 in words is "one hundred twenty-nine billion, nine hundred fifty-seven million, four hundred thirty-four thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 229 252 378 458 687 756 916 1374 1603 2061 2748 3206 4122 4809 6183 6412 8244 9618 12366 14427 19236 24732 28854 43281 57708 86562 173124 750661 1501322 2251983 3002644 4503966 5254627 6755949 9007932 10509254 13511898 15763881 20267847 21018508 27023796 31527762 40535694 47291643 63055524 81071388 94583286 141874929 171901369 189166572 283749858 343802738 515704107 567499716 687605476 1031408214 1203309583 1547112321 2062816428 2406619166 3094224642 3609928749 4641336963 4813238332 6188449284 7219857498 9282673926 10829786247 14439714996 18565347852 21659572494 32489358741 43319144988 64978717482 129957434964