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55512318960 = 243257831311013
BaseRepresentation
bin110011101100110010…
…101100001111110000
312022021202012222200100
4303230302230033300
51402142123201320
641300233352400
74003434632340
oct635462541760
9168252188610
1055512318960
11215a729095a
12a912b68700
135308aa7917
142988872d20
15169d799790
hexceccac3f0

55512318960 has 480 divisors, whose sum is σ = 217489079808. Its totient is φ = 12427683840.

The previous prime is 55512318941. The next prime is 55512318991. The reversal of 55512318960 is 6981321555.

55512318960 is a `hidden beast` number, since 5 + 551 + 2 + 3 + 1 + 8 + 96 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 54799414 + ... + 54800426.

Almost surely, 255512318960 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 55512318960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108744539904).

55512318960 is an abundant number, since it is smaller than the sum of its proper divisors (161976760848).

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

55512318960 is a wasteful number, since it uses less digits than its factorization.

55512318960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1253 (or 1244 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 45.

The spelling of 55512318960 in words is "fifty-five billion, five hundred twelve million, three hundred eighteen thousand, nine hundred sixty".