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52593632640 = 2733523132331
BaseRepresentation
bin110000111110110100…
…110010010110000000
312000202100012100202000
4300332310302112000
51330202432221030
640054452024000
73541214333643
oct607664622600
9160670170660
1052593632640
11203398096aa
12a239602000
134c621c36b3
14278cd95a5a
15157c418860
hexc3ed32580

52593632640 has 256 divisors, whose sum is σ = 194369241600. Its totient is φ = 13415086080.

The previous prime is 52593632629. The next prime is 52593632671. The reversal of 52593632640 is 4623639525.

52593632640 is a `hidden beast` number, since 5 + 2 + 5 + 9 + 3 + 632 + 6 + 4 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 331275 + ... + 463605.

It is an arithmetic number, because the mean of its divisors is an integer number (759254850).

Almost surely, 252593632640 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 52593632640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97184620800).

52593632640 is an abundant number, since it is smaller than the sum of its proper divisors (141775608960).

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

52593632640 is a wasteful number, since it uses less digits than its factorization.

52593632640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132382 (or 132364 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 45.

The spelling of 52593632640 in words is "fifty-two billion, five hundred ninety-three million, six hundred thirty-two thousand, six hundred forty".