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51858368768 = 28436770313
BaseRepresentation
bin110000010010111111…
…111110100100000000
311221212002200002022202
4300102333332210000
51322201220300033
635453504452332
73514045601333
oct602277764400
9157762602282
1051858368768
111aaa1774008
12a07331a0a8
134b75a8840b
14271d47c61a
151537acc8e8
hexc12ffe900

51858368768 has 72 divisors (see below), whose sum is σ = 107503918368. Its totient is φ = 24947822592.

The previous prime is 51858368747. The next prime is 51858368813. The reversal of 51858368768 is 86786385815.

It is a super-2 number, since 2×518583687682 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 702380 + ... + 772692.

Almost surely, 251858368768 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 51858368768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53751959184).

51858368768 is an abundant number, since it is smaller than the sum of its proper divisors (55645549600).

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

51858368768 is an equidigital number, since it uses as much as digits as its factorization.

51858368768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70439 (or 70425 counting only the distinct ones).

The product of its digits is 77414400, while the sum is 65.

It can be divided in two parts, 51858 and 368768, that multiplied together give a square (19123570944 = 1382882).

The spelling of 51858368768 in words is "fifty-one billion, eight hundred fifty-eight million, three hundred sixty-eight thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 16 32 43 64 67 86 128 134 172 256 268 344 536 688 1072 1376 2144 2752 2881 4288 5504 5762 8576 11008 11524 17152 23048 46096 70313 92192 140626 184384 281252 368768 562504 737536 1125008 2250016 3023459 4500032 4710971 6046918 9000064 9421942 12093836 18000128 18843884 24187672 37687768 48375344 75375536 96750688 150751072 193501376 202571753 301502144 387002752 405143506 603004288 774005504 810287012 1206008576 1620574024 3241148048 6482296096 12964592192 25929184384 51858368768