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56632216320 = 2832567239307
BaseRepresentation
bin110100101111100010…
…110000101100000000
312102011210111200001100
4310233202300230000
51411440321410240
642003320534400
74043253616251
oct645742605400
9172153450040
1056632216320
1122021456369
12ab86021400
135456b04094
142a534b0b28
151716c60e30
hexd2f8b0b00

56632216320 has 432 divisors, whose sum is σ = 200348628480. Its totient is φ = 14766022656.

The previous prime is 56632216309. The next prime is 56632216327. The reversal of 56632216320 is 2361223665.

56632216320 is a `hidden beast` number, since 5 + 6 + 6 + 322 + 1 + 6 + 320 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (56632216327) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 184469607 + ... + 184469913.

Almost surely, 256632216320 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 56632216320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100174314240).

56632216320 is an abundant number, since it is smaller than the sum of its proper divisors (143716412160).

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

56632216320 is a wasteful number, since it uses less digits than its factorization.

56632216320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

Adding to 56632216320 its reverse (2361223665), we get a palindrome (58993439985).

The spelling of 56632216320 in words is "fifty-six billion, six hundred thirty-two million, two hundred sixteen thousand, three hundred twenty".