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56534999040 = 2133251347251
BaseRepresentation
bin110100101001101111…
…111010000000000000
312101221000120112000100
4310221233322000000
51411240424432130
641545525122400
74040663364042
oct645157720000
9171830515010
1056534999040
1121a81595603
12ab59559400
13543c926070
142a44605a92
15170d45ac60
hexd29bfa000

56534999040 has 672 divisors, whose sum is σ = 216400294656. Its totient is φ = 13565952000.

The previous prime is 56534999033. The next prime is 56534999063. The reversal of 56534999040 is 4099943565.

56534999040 is a `hidden beast` number, since 5 + 65 + 3 + 499 + 90 + 4 + 0 = 666.

It is a super-2 number, since 2×565349990402 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 225238915 + ... + 225239165.

It is an arithmetic number, because the mean of its divisors is an integer number (322024248).

Almost surely, 256534999040 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 56534999040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108200147328).

56534999040 is an abundant number, since it is smaller than the sum of its proper divisors (159865295616).

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

56534999040 is a wasteful number, since it uses less digits than its factorization.

56534999040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 5248800, while the sum is 54.

The spelling of 56534999040 in words is "fifty-six billion, five hundred thirty-four million, nine hundred ninety-nine thousand, forty".