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54207014976 = 26328921092
BaseRepresentation
bin110010011110111111…
…010110100001000000
312011220210001200020100
4302132333112201000
51342003443434401
640522524242400
73626205011352
oct623677264100
9164823050210
1054207014976
1120a974a0734
12a6099a0400
13515b5336ba
1428a33710d2
151623dacb86
hexc9efd6840

54207014976 has 189 divisors, whose sum is σ = 158594896551. Its totient is φ = 17702074368.

The previous prime is 54207014969. The next prime is 54207015041. The reversal of 54207014976 is 67941070245.

The square root of 54207014976 is 232824.

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

54207014976 is a `hidden beast` number, since 542 + 0 + 7 + 0 + 14 + 97 + 6 = 666.

54207014976 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 901440576 + 53305574400 = 30024^2 + 230880^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 497312010 + ... + 497312118.

Almost surely, 254207014976 is an apocalyptic number.

54207014976 is the 232824-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54207014976

54207014976 is an abundant number, since it is smaller than the sum of its proper divisors (104387881575).

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

54207014976 is an equidigital number, since it uses as much as digits as its factorization.

54207014976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 54207014976 in words is "fifty-four billion, two hundred seven million, fourteen thousand, nine hundred seventy-six".