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55620268704 = 25347111321797
BaseRepresentation
bin110011110011001110…
…011111001010100000
312022120021100101220000
4303303032133022200
51402402242044304
641315051220000
74006215324540
oct636316371240
9168507311800
1055620268704
1121652212120
12a943147600
135325272a00
142998d33320
1516a7ebe939
hexcf339f2a0

55620268704 has 1440 divisors, whose sum is σ = 236236404096. Its totient is φ = 12421693440.

The previous prime is 55620268661. The next prime is 55620268709. The reversal of 55620268704 is 40786202655.

55620268704 is a `hidden beast` number, since 5 + 562 + 0 + 2 + 6 + 87 + 0 + 4 = 666.

It is a super-2 number, since 2×556202687042 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 55620268704.

It is not an unprimeable number, because it can be changed into a prime (55620268709) by changing a digit.

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 239 ways as a sum of consecutive naturals, for example, 573404784 + ... + 573404880.

Almost surely, 255620268704 is an apocalyptic number.

55620268704 is a gapful number since it is divisible by the number (54) 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 55620268704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118118202048).

55620268704 is an abundant number, since it is smaller than the sum of its proper divisors (180616135392).

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

55620268704 is a wasteful number, since it uses less digits than its factorization.

55620268704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 55620268704 in words is "fifty-five billion, six hundred twenty million, two hundred sixty-eight thousand, seven hundred four".