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51171868944 = 24327226932
BaseRepresentation
bin101111101010000101…
…001100000100010000
311220002020220021121100
4233222011030010100
51314244444301234
635301422424400
73461041465200
oct575205140420
9156066807540
1051171868944
111a77a205589
129b01432100
134a96794ac1
14269621a400
1514e76c5399
hexbea14c110

51171868944 has 135 divisors (see below), whose sum is σ = 166653295653. Its totient is φ = 14615104896.

The previous prime is 51171868931. The next prime is 51171868991. The reversal of 51171868944 is 44986817115.

The square root of 51171868944 is 226212.

It is a perfect power (a square), and thus also a powerful number.

51171868944 is a `hidden beast` number, since 511 + 7 + 1 + 8 + 6 + 89 + 44 = 666.

It can be written as a sum of positive squares in only one way, i.e., 20996010000 + 30175858944 = 144900^2 + 173712^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 19000462 + ... + 19003154.

Almost surely, 251171868944 is an apocalyptic number.

51171868944 is the 226212-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51171868944

51171868944 is an abundant number, since it is smaller than the sum of its proper divisors (115481426709).

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

51171868944 is an equidigital number, since it uses as much as digits as its factorization.

51171868944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5414 (or 2705 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 54.

The spelling of 51171868944 in words is "fifty-one billion, one hundred seventy-one million, eight hundred sixty-eight thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 49 56 63 72 84 98 112 126 144 147 168 196 252 294 336 392 441 504 588 784 882 1008 1176 1764 2352 2693 3528 5386 7056 8079 10772 16158 18851 21544 24237 32316 37702 43088 48474 56553 64632 75404 96948 113106 129264 131957 150808 169659 193896 226212 263914 301616 339318 387792 395871 452424 527828 678636 791742 904848 1055656 1187613 1357272 1583484 2111312 2375226 2714544 3166968 4750452 6333936 7252249 9500904 14504498 19001808 21756747 29008996 43513494 50765743 58017992 65270241 87026988 101531486 116035984 130540482 152297229 174053976 203062972 261080964 304594458 348107952 355360201 406125944 456891687 522161928 609188916 710720402 812251888 913783374 1044323856 1066080603 1218377832 1421440804 1827566748 2132161206 2436755664 2842881608 3198241809 3655133496 4264322412 5685763216 6396483618 7310266992 8528644824 12792967236 17057289648 25585934472 51171868944