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54327314496 = 2637313233189
BaseRepresentation
bin110010100110001010…
…010000100001000000
312012020011102112011010
4302212022100201000
51342230243030441
640542502520520
73632165361000
oct624612204100
9165204375133
1054327314496
1121049397524
12a642136140
13517a433a50
1428b5328000
15162e722116
hexca6290840

54327314496 has 896 divisors, whose sum is σ = 196632576000. Its totient is φ = 13113999360.

The previous prime is 54327314411. The next prime is 54327314521. The reversal of 54327314496 is 69441372345.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

Its product of digits (2177280) is a multiple of the sum of its prime divisors (168).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 610419220 + ... + 610419308.

It is an arithmetic number, because the mean of its divisors is an integer number (219456000).

Almost surely, 254327314496 is an apocalyptic number.

54327314496 is a gapful number since it is divisible by the number (56) 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 54327314496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98316288000).

54327314496 is an abundant number, since it is smaller than the sum of its proper divisors (142305261504).

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

54327314496 is a wasteful number, since it uses less digits than its factorization.

54327314496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 168 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 48.

The spelling of 54327314496 in words is "fifty-four billion, three hundred twenty-seven million, three hundred fourteen thousand, four hundred ninety-six".