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54153868356 = 22347176732087
BaseRepresentation
bin110010011011110100…
…100111010001000100
312011210002001112210000
4302123310213101010
51341401342241411
640513345201300
73624661200060
oct623364472104
9164702045700
1054153868356
1120a6a4a0905
12a5b4030230
135150515cb3
14289a298aa0
15161e3b0956
hexc9bd27444

54153868356 has 240 divisors, whose sum is σ = 171647030016. Its totient is φ = 14533779456.

The previous prime is 54153868319. The next prime is 54153868361. The reversal of 54153868356 is 65386835145.

It is a happy number.

54153868356 is a `hidden beast` number, since 5 + 41 + 538 + 68 + 3 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 25947145 + ... + 25949231.

Almost surely, 254153868356 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 54153868356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85823515008).

54153868356 is an abundant number, since it is smaller than the sum of its proper divisors (117493161660).

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

54153868356 is a wasteful number, since it uses less digits than its factorization.

54153868356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2800 (or 2789 counting only the distinct ones).

The product of its digits is 10368000, while the sum is 54.

The spelling of 54153868356 in words is "fifty-four billion, one hundred fifty-three million, eight hundred sixty-eight thousand, three hundred fifty-six".