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51936105984 = 29375391139
BaseRepresentation
bin110000010111101000…
…100001011000000000
311222001111221112201220
4300113220201120000
51322331120342414
635505322555040
73516011421420
oct602750413000
9158044845656
1051936105984
112003163a144
12a095368a80
134b88c05879
142729916480
15153e835ca9
hexc17a21600

51936105984 has 160 divisors (see below), whose sum is σ = 161112188160. Its totient is φ = 14558748672.

The previous prime is 51936105983. The next prime is 51936105989. The reversal of 51936105984 is 48950163915.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51936105983) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 524287 + ... + 615425.

It is an arithmetic number, because the mean of its divisors is an integer number (1006951176).

Almost surely, 251936105984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51936105984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80556094080).

51936105984 is an abundant number, since it is smaller than the sum of its proper divisors (109176082176).

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

51936105984 is an equidigital number, since it uses as much as digits as its factorization.

51936105984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91220 (or 91204 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 51.

The spelling of 51936105984 in words is "fifty-one billion, nine hundred thirty-six million, one hundred five thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 53 56 64 84 96 106 112 128 159 168 192 212 224 256 318 336 371 384 424 448 512 636 672 742 768 848 896 1113 1272 1344 1484 1536 1696 1792 2226 2544 2688 2968 3392 3584 4452 5088 5376 5936 6784 8904 10176 10752 11872 13568 17808 20352 23744 27136 35616 40704 47488 71232 81408 91139 94976 142464 182278 189952 273417 284928 364556 546834 569856 637973 729112 1093668 1275946 1458224 1913919 2187336 2551892 2916448 3827838 4374672 4830367 5103784 5832896 7655676 8749344 9660734 10207568 11665792 14491101 15311352 17498688 19321468 20415136 23331584 28982202 30622704 33812569 34997376 38642936 40830272 46663168 57964404 61245408 67625138 69994752 77285872 81660544 101437707 115928808 122490816 135250276 139989504 154571744 163321088 202875414 231857616 244981632 270500552 309143488 326642176 405750828 463715232 489963264 541001104 618286976 811501656 927430464 979926528 1082002208 1236573952 1623003312 1854860928 2164004416 2473147904 3246006624 3709721856 4328008832 6492013248 7419443712 8656017664 12984026496 17312035328 25968052992 51936105984