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51068440584 = 23327307330053
BaseRepresentation
bin101111100011111010…
…101001000000001000
311212211001021120120100
4233203322221000020
51314042010044314
635243245525400
73455344403610
oct574372510010
9155731246510
1051068440584
111a7268922a7
129a92873860
134a7b2209a5
1426865b5a40
1514dd594c09
hexbe3ea9008

51068440584 has 96 divisors (see below), whose sum is σ = 158584345920. Its totient is φ = 14543411328.

The previous prime is 51068440547. The next prime is 51068440601. The reversal of 51068440584 is 48504486015.

It is a happy number.

51068440584 is a `hidden beast` number, since 5 + 1 + 0 + 68 + 4 + 4 + 0 + 584 = 666.

It is a super-2 number, since 2×510684405842 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10299 + ... + 319754.

It is an arithmetic number, because the mean of its divisors is an integer number (1651920270).

Almost surely, 251068440584 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 51068440584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79292172960).

51068440584 is an abundant number, since it is smaller than the sum of its proper divisors (107515905336).

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

51068440584 is a wasteful number, since it uses less digits than its factorization.

51068440584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330379 (or 330372 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The spelling of 51068440584 in words is "fifty-one billion, sixty-eight million, four hundred forty thousand, five hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 307 504 614 921 1228 1842 2149 2456 2763 3684 4298 5526 6447 7368 8596 11052 12894 17192 19341 22104 25788 38682 51576 77364 154728 330053 660106 990159 1320212 1980318 2310371 2640424 2970477 3960636 4620742 5940954 6931113 7921272 9241484 11881908 13862226 18482968 20793339 23763816 27724452 41586678 55448904 83173356 101326271 166346712 202652542 303978813 405305084 607957626 709283897 810610168 911936439 1215915252 1418567794 1823872878 2127851691 2431830504 2837135588 3647745756 4255703382 5674271176 6383555073 7295491512 8511406764 12767110146 17022813528 25534220292 51068440584