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54554363136 = 283571323419
BaseRepresentation
bin110010110011101100…
…011000010100000000
312012210222122210100000
4302303230120110000
51343211404110021
641021213200000
73640623302250
oct626354302400
9165728583300
1054554363136
1121155574529
12a6a6190000
1351b549b860
1428d754b960
151644620b26
hexcb3b18500

54554363136 has 864 divisors, whose sum is σ = 209991075840. Its totient is φ = 13729554432.

The previous prime is 54554363107. The next prime is 54554363141. The reversal of 54554363136 is 63136345545.

54554363136 is a `hidden beast` number, since 5 + 4 + 5 + 5 + 4 + 3 + 631 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a junction number, because it is equal to n+sod(n) for n = 54554363091 and 54554363100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 130201135 + ... + 130201553.

Almost surely, 254554363136 is an apocalyptic number.

54554363136 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 54554363136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104995537920).

54554363136 is an abundant number, since it is smaller than the sum of its proper divisors (155436712704).

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

54554363136 is a wasteful number, since it uses less digits than its factorization.

54554363136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493 (or 467 counting only the distinct ones).

The product of its digits is 1944000, while the sum is 45.

The spelling of 54554363136 in words is "fifty-four billion, five hundred fifty-four million, three hundred sixty-three thousand, one hundred thirty-six".