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56632314375 = 345471319647
BaseRepresentation
bin110100101111100011…
…001000101000000111
312102011210200122120000
4310233203020220013
51411440333030000
642003323012343
74043254505160
oct645743105007
9172153618500
1056632314375
1122021512aaa
12ab8606a0b3
135456b398c0
142a534d8767
151716c80000
hexd2f8c8a07

56632314375 has 400 divisors, whose sum is σ = 137170091520. Its totient is φ = 22604832000.

The previous prime is 56632314359. The next prime is 56632314379. The reversal of 56632314375 is 57341323665.

It is a happy number.

56632314375 is a `hidden beast` number, since 5 + 6 + 632 + 3 + 1 + 4 + 3 + 7 + 5 = 666.

It is not a de Polignac number, because 56632314375 - 24 = 56632314359 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 56632314375.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56632314379) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 399 ways as a sum of consecutive naturals, for example, 87530302 + ... + 87530948.

Almost surely, 256632314375 is an apocalyptic number.

56632314375 is an abundant number, since it is smaller than the sum of its proper divisors (80537777145).

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

56632314375 is a wasteful number, since it uses less digits than its factorization.

56632314375 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 718 (or 694 counting only the distinct ones).

The product of its digits is 1360800, while the sum is 45.

The spelling of 56632314375 in words is "fifty-six billion, six hundred thirty-two million, three hundred fourteen thousand, three hundred seventy-five".