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51903774976 = 282924912
BaseRepresentation
bin110000010101101101…
…001100000100000000
311221222021002221221011
4300111231030010000
51322244331244401
635502210010304
73515136544054
oct602555140400
9157867087834
1051903774976
11200153673a9
12a086576994
134b822c58b1
1427254dbc64
15153ba9b451
hexc15b4c100

51903774976 has 81 divisors (see below), whose sum is σ = 107519552413. Its totient is φ = 25005962240.

The previous prime is 51903774943. The next prime is 51903774991. The reversal of 51903774976 is 67947730915.

The square root of 51903774976 is 227824.

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

It can be written as a sum of positive squares in only one way, i.e., 27217080576 + 24686694400 = 164976^2 + 157120^2 .

It is a Harshad number since it is a multiple of its sum of digits (58).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 51903774976.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 105710091 + ... + 105710581.

Almost surely, 251903774976 is an apocalyptic number.

51903774976 is the 227824-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51903774976

51903774976 is an abundant number, since it is smaller than the sum of its proper divisors (55615777437).

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

51903774976 is an frugal number, since it uses more digits than its factorization.

51903774976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1056 (or 522 counting only the distinct ones).

The product of its (nonzero) digits is 10001880, while the sum is 58.

The spelling of 51903774976 in words is "fifty-one billion, nine hundred three million, seven hundred seventy-four thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 256 464 491 841 928 982 1682 1856 1964 3364 3712 3928 6728 7424 7856 13456 14239 15712 26912 28478 31424 53824 56956 62848 107648 113912 125696 215296 227824 241081 412931 455648 482162 825862 911296 964324 1651724 1822592 1928648 3303448 3645184 3857296 6606896 6991349 7714592 13213792 13982698 15429184 26427584 27965396 30858368 52855168 55930792 61716736 105710336 111861584 202749121 223723168 405498242 447446336 810996484 894892672 1621992968 1789785344 3243985936 6487971872 12975943744 25951887488 51903774976