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52340596560 = 243257219113691
BaseRepresentation
bin110000101111101111…
…100001111101010000
312000002201001210111100
4300233233201331100
51324143143042220
640013412344400
73532022505300
oct605757417520
9160081053440
1052340596560
11202199a197a
12a188915100
134c2195a0c5
142767529600
1515650d4d90
hexc2fbe1f50

52340596560 has 720 divisors, whose sum is σ = 217456349760. Its totient is φ = 11217346560.

The previous prime is 52340596513. The next prime is 52340596601. The reversal of 52340596560 is 6569504325.

52340596560 is a `hidden beast` number, since 5 + 2 + 3 + 4 + 0 + 596 + 56 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 143 ways as a sum of consecutive naturals, for example, 75745815 + ... + 75746505.

It is an arithmetic number, because the mean of its divisors is an integer number (302022708).

Almost surely, 252340596560 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 52340596560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108728174880).

52340596560 is an abundant number, since it is smaller than the sum of its proper divisors (165115753200).

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

52340596560 is a wasteful number, since it uses less digits than its factorization.

52340596560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 856 (or 840 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 45.

The spelling of 52340596560 in words is "fifty-two billion, three hundred forty million, five hundred ninety-six thousand, five hundred sixty".