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188931625056 = 25324116000307
BaseRepresentation
bin1010111111110100110…
…0111101000001100000
3200001122222011222110200
42233331030331001200
511043412444000211
6222443300225200
716435621213206
oct2577514750140
9601588158420
10188931625056
1173141a82299
123074899b200
1314a7c1a48a5
1492040d3076
154dab8cab56
hex2bfd33d060

188931625056 has 72 divisors (see below), whose sum is σ = 550378594584. Its totient is φ = 61441175040.

The previous prime is 188931625007. The next prime is 188931625087. The reversal of 188931625056 is 650526139881.

188931625056 is a `hidden beast` number, since 1 + 8 + 8 + 9 + 3 + 1 + 625 + 0 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 188931624993 and 188931625011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7988346 + ... + 8011961.

It is an arithmetic number, because the mean of its divisors is an integer number (7644147147).

Almost surely, 2188931625056 is an apocalyptic number.

188931625056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

188931625056 is an abundant number, since it is smaller than the sum of its proper divisors (361446969528).

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

188931625056 is a wasteful number, since it uses less digits than its factorization.

188931625056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16000364 (or 16000353 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 188931625056 in words is "one hundred eighty-eight billion, nine hundred thirty-one million, six hundred twenty-five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 41 48 72 82 96 123 144 164 246 288 328 369 492 656 738 984 1312 1476 1968 2952 3936 5904 11808 16000307 32000614 48000921 64001228 96001842 128002456 144002763 192003684 256004912 288005526 384007368 512009824 576011052 656012587 768014736 1152022104 1312025174 1536029472 1968037761 2304044208 2624050348 3936075522 4608088416 5248100696 5904113283 7872151044 10496201392 11808226566 15744302088 20992402784 23616453132 31488604176 47232906264 62977208352 94465812528 188931625056