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52432576560 = 24355713107277
BaseRepresentation
bin110000110101001110…
…011010000000110000
312000100010010212100000
4300311032122000300
51324340214422220
640030500030000
73534220355460
oct606516320060
9160303125300
1052432576560
1120266905901
12a1b3692300
134c37a23340
14277582dba0
15156d203390
hexc3539a030

52432576560 has 960 divisors, whose sum is σ = 227667428352. Its totient is φ = 10919743488.

The previous prime is 52432576517. The next prime is 52432576577. The reversal of 52432576560 is 6567523425.

52432576560 is a `hidden beast` number, since 5 + 2 + 4 + 32 + 57 + 6 + 560 = 666.

It is a super-2 number, since 2×524325765602 (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 189287142 + ... + 189287418.

Almost surely, 252432576560 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 52432576560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113833714176).

52432576560 is an abundant number, since it is smaller than the sum of its proper divisors (175234851792).

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

52432576560 is a wasteful number, since it uses less digits than its factorization.

52432576560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 1512000, while the sum is 45.

The spelling of 52432576560 in words is "fifty-two billion, four hundred thirty-two million, five hundred seventy-six thousand, five hundred sixty".