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56531105280 = 293451367313
BaseRepresentation
bin110100101001100001…
…000011011000000000
312101220202020200210000
4310221201003120000
51411233430332110
641545305440000
74040615316006
oct645141033000
9171822220700
1056531105280
1121a7a376121
12ab581a0000
13543bb91970
142a43cb0a76
15170ce3c1c0
hexd29843600

56531105280 has 800 divisors, whose sum is σ = 222013227744. Its totient is φ = 13663862784.

The previous prime is 56531105273. The next prime is 56531105299. The reversal of 56531105280 is 8250113565.

It is a happy number.

56531105280 is a `hidden beast` number, since 5 + 65 + 311 + 0 + 5 + 280 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 180610404 + ... + 180610716.

Almost surely, 256531105280 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 56531105280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111006613872).

56531105280 is an abundant number, since it is smaller than the sum of its proper divisors (165482122464).

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

56531105280 is a wasteful number, since it uses less digits than its factorization.

56531105280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The spelling of 56531105280 in words is "fifty-six billion, five hundred thirty-one million, one hundred five thousand, two hundred eighty".