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52521683760 = 243257137379139
BaseRepresentation
bin110000111010100010…
…010100101100110000
312000120022210222102200
4300322202110230300
51330031022340020
640043401543200
73536351642310
oct607242245460
9160508728380
1052521683760
1120302137417
12a2194a4b00
134c50321ab0
1427835c7440
151575e55590
hexc3a894b30

52521683760 has 960 divisors, whose sum is σ = 224452300800. Its totient is φ = 10713710592.

The previous prime is 52521683713. The next prime is 52521683783. The reversal of 52521683760 is 6738612525.

52521683760 is a `hidden beast` number, since 5 + 2 + 521 + 68 + 3 + 7 + 60 = 666.

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, 377853771 + ... + 377853909.

It is an arithmetic number, because the mean of its divisors is an integer number (233804480).

Almost surely, 252521683760 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 52521683760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112226150400).

52521683760 is an abundant number, since it is smaller than the sum of its proper divisors (171930617040).

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

52521683760 is a wasteful number, since it uses less digits than its factorization.

52521683760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 52521683760 in words is "fifty-two billion, five hundred twenty-one million, six hundred eighty-three thousand, seven hundred sixty".