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51104626848 = 25321122961829
BaseRepresentation
bin101111100110000100…
…101011100010100000
311212220120101000210100
4233212010223202200
51314130241024343
635251021302400
73456264106122
oct574604534240
9155816330710
1051104626848
111a745258600
129aa2a04a00
134a85880692
14268b315212
1514e18419d3
hexbe612b8a0

51104626848 has 432 divisors, whose sum is σ = 168161502600. Its totient is φ = 14689382400.

The previous prime is 51104626843. The next prime is 51104626883. The reversal of 51104626848 is 84862640115.

It is a happy number.

51104626848 is a `hidden beast` number, since 5 + 1 + 10 + 4 + 626 + 8 + 4 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 32655381264 + 18449245584 = 180708^2 + 135828^2 .

It is a super-2 number, since 2×511046268482 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51104626843) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 61645698 + ... + 61646526.

Almost surely, 251104626848 is an apocalyptic number.

51104626848 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51104626848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84080751300).

51104626848 is an abundant number, since it is smaller than the sum of its proper divisors (117056875752).

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

51104626848 is a wasteful number, since it uses less digits than its factorization.

51104626848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 957 (or 935 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 51104626848 in words is "fifty-one billion, one hundred four million, six hundred twenty-six thousand, eight hundred forty-eight".