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51055135524 = 223219467159833
BaseRepresentation
bin101111100011000111…
…111000101100100100
311212210010020121110100
4233203013320230210
51314030103314044
635242052424100
73455123330421
oct574307705444
9155703217410
1051055135524
111a71a324a88
129a8a318030
134a78542983
142684910d48
1514dc317869
hexbe31f8b24

51055135524 has 72 divisors (see below), whose sum is σ = 136140207840. Its totient is φ = 16088049792.

The previous prime is 51055135489. The next prime is 51055135603. The reversal of 51055135524 is 42553155015.

51055135524 is a `hidden beast` number, since 51 + 0 + 5 + 51 + 3 + 552 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 239512 + ... + 399344.

It is an arithmetic number, because the mean of its divisors is an integer number (1890836220).

Almost surely, 251055135524 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 51055135524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68070103920).

51055135524 is an abundant number, since it is smaller than the sum of its proper divisors (85085072316).

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

51055135524 is a wasteful number, since it uses less digits than its factorization.

51055135524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160329 (or 160324 counting only the distinct ones).

The product of its (nonzero) digits is 75000, while the sum is 36.

The spelling of 51055135524 in words is "fifty-one billion, fifty-five million, one hundred thirty-five thousand, five hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 467 684 934 1401 1868 2802 4203 5604 8406 8873 16812 17746 26619 35492 53238 79857 106476 159714 159833 319428 319666 479499 639332 958998 1438497 1917996 2876994 3036827 5753988 6073654 9110481 12147308 18220962 27331443 36441924 54662886 74642011 109325772 149284022 223926033 298568044 447852066 671778099 895704132 1343556198 1418198209 2687112396 2836396418 4254594627 5672792836 8509189254 12763783881 17018378508 25527567762 51055135524