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51088656784 = 241144672
BaseRepresentation
bin101111100101000111…
…110000100110010000
311212212110022122222111
4233211013300212100
51314112144004114
635245251115104
73456011263144
oct574507604620
9155773278874
1051088656784
111a737240000
129a995a2a94
134a8247b639
142689159224
1514e0239bc4
hexbe51f0990

51088656784 has 75 divisors (see below), whose sum is σ = 109115675035. Its totient is φ = 23172390560.

The previous prime is 51088656761. The next prime is 51088656793. The reversal of 51088656784 is 48765688015.

The square root of 51088656784 is 226028.

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

It is a super-2 number, since 2×510886567842 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

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 14 ways as a sum of consecutive naturals, for example, 109397319 + ... + 109397785.

Almost surely, 251088656784 is an apocalyptic number.

51088656784 is the 226028-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51088656784

51088656784 is an abundant number, since it is smaller than the sum of its proper divisors (58027018251).

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

51088656784 is an frugal number, since it uses more digits than its factorization.

51088656784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 986 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 12902400, while the sum is 58.

The spelling of 51088656784 in words is "fifty-one billion, eighty-eight million, six hundred fifty-six thousand, seven hundred eighty-four".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 467 484 934 968 1331 1868 1936 2662 3736 5137 5324 7472 10274 10648 14641 20548 21296 29282 41096 56507 58564 82192 113014 117128 218089 226028 234256 436178 452056 621577 872356 904112 1243154 1744712 2398979 2486308 3489424 4797958 4972616 6837347 9595916 9945232 13674694 19191832 26388769 27349388 38383664 52777538 54698776 105555076 109397552 211110152 290276459 422220304 580552918 1161105836 2322211672 3193041049 4644423344 6386082098 12772164196 25544328392 51088656784