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55504628256 = 25371121937971
BaseRepresentation
bin110011101100010101…
…010110101000100000
312022021012202021000110
4303230111112220200
51402133141101011
641255400451320
74003312361430
oct635425265040
9168235667013
1055504628256
11215a2a08800
12a910479b40
1353073141cc
1429878302c0
15169cc7aba6
hexcec556a20

55504628256 has 576 divisors, whose sum is σ = 198071516160. Its totient is φ = 13275187200.

The previous prime is 55504628243. The next prime is 55504628299. The reversal of 55504628256 is 65282640555.

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

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, 57161851 + ... + 57162821.

It is an arithmetic number, because the mean of its divisors is an integer number (343874160).

Almost surely, 255504628256 is an apocalyptic number.

55504628256 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 55504628256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99035758080).

55504628256 is an abundant number, since it is smaller than the sum of its proper divisors (142566887904).

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

55504628256 is a wasteful number, since it uses less digits than its factorization.

55504628256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1069 (or 1050 counting only the distinct ones).

The product of its (nonzero) digits is 2880000, while the sum is 48.

The spelling of 55504628256 in words is "fifty-five billion, five hundred four million, six hundred twenty-eight thousand, two hundred fifty-six".