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51328508832 = 2532293608273
BaseRepresentation
bin101111110011011010…
…101110001110100000
311220111011122102010200
4233303122232032200
51320110044240312
635325140025200
73464653061226
oct576332561640
9156434572120
1051328508832
111a84a672437
129b45992200
134ac007a023
1426acd52b16
1515063170dc
hexbf36ae3a0

51328508832 has 72 divisors (see below), whose sum is σ = 146463863364. Its totient is φ = 17051080704.

The previous prime is 51328508821. The next prime is 51328508837. The reversal of 51328508832 is 23880582315.

51328508832 is a `hidden beast` number, since 5 + 132 + 8 + 508 + 8 + 3 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 51237038736 + 91470096 = 226356^2 + 9564^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (51328508837) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 219753 + ... + 388520.

Almost surely, 251328508832 is an apocalyptic number.

It is an amenable number.

51328508832 is an abundant number, since it is smaller than the sum of its proper divisors (95135354532).

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

51328508832 is a wasteful number, since it uses less digits than its factorization.

51328508832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 608582 (or 608571 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 51328508832 in words is "fifty-one billion, three hundred twenty-eight million, five hundred eight thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 293 586 879 1172 1758 2344 2637 3516 4688 5274 7032 9376 10548 14064 21096 28128 42192 84384 608273 1216546 1824819 2433092 3649638 4866184 5474457 7299276 9732368 10948914 14598552 19464736 21897828 29197104 43795656 58394208 87591312 175182624 178223989 356447978 534671967 712895956 1069343934 1425791912 1604015901 2138687868 2851583824 3208031802 4277375736 5703167648 6416063604 8554751472 12832127208 17109502944 25664254416 51328508832