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56336776272 = 243272171921301
BaseRepresentation
bin110100011101111011…
…101111110001010000
312101102012120202111100
4310131323233301100
51410334203320042
641514124344400
74033035461100
oct643573576120
9171365522440
1056336776272
112198a706937
12ab030a5100
13540a84199a
142a26167200
1516ead5324c
hexd1deefc50

56336776272 has 540 divisors, whose sum is σ = 205110723636. Its totient is φ = 14341017600.

The previous prime is 56336776267. The next prime is 56336776409. The reversal of 56336776272 is 27267763365.

56336776272 is a `hidden beast` number, since 5 + 6 + 3 + 3 + 6 + 7 + 7 + 627 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 15897175056 + 40439601216 = 126084^2 + 201096^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 43302022 + ... + 43303322.

Almost surely, 256336776272 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 56336776272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102555361818).

56336776272 is an abundant number, since it is smaller than the sum of its proper divisors (148773947364).

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

56336776272 is a wasteful number, since it uses less digits than its factorization.

56336776272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1384 (or 1349 counting only the distinct ones).

The product of its digits is 13335840, while the sum is 54.

The spelling of 56336776272 in words is "fifty-six billion, three hundred thirty-six million, seven hundred seventy-six thousand, two hundred seventy-two".