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55497739968 = 26321122389389
BaseRepresentation
bin110011101011111011…
…000100111011000000
312022020201210022001200
4303223323010323000
51402124410134333
641254553101200
74003200002106
oct635373047300
9168221708050
1055497739968
112159a033500
12a90a0b7800
135305a71ab8
142986959c76
15169c369c13
hexcebec4ec0

55497739968 has 504 divisors, whose sum is σ = 184976719200. Its totient is φ = 15864668160.

The previous prime is 55497739951. The next prime is 55497739981. The reversal of 55497739968 is 86993779455.

55497739968 is a `hidden beast` number, since 5 + 5 + 497 + 73 + 9 + 9 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 55497739896 and 55497739905.

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 71 ways as a sum of consecutive naturals, for example, 142667518 + ... + 142667906.

It is an arithmetic number, because the mean of its divisors is an integer number (367017300).

Almost surely, 255497739968 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 55497739968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92488359600).

55497739968 is an abundant number, since it is smaller than the sum of its proper divisors (129478979232).

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

55497739968 is a wasteful number, since it uses less digits than its factorization.

55497739968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541 (or 517 counting only the distinct ones).

The product of its digits is 514382400, while the sum is 72.

The spelling of 55497739968 in words is "fifty-five billion, four hundred ninety-seven million, seven hundred thirty-nine thousand, nine hundred sixty-eight".