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52965731520 = 2634513198273
BaseRepresentation
bin110001010101000000…
…001110110011000000
312001201021100221110000
4301111000032303000
51331433211402040
640155423240000
73553353201222
oct612500166300
9161637327400
1052965731520
112050a858039
12a322149000
134cc1316450
1427c6576412
15159ee1a130
hexc5500ecc0

52965731520 has 560 divisors, whose sum is σ = 213606217440. Its totient is φ = 12350029824.

The previous prime is 52965731449. The next prime is 52965731527. The reversal of 52965731520 is 2513756925.

52965731520 is a `hidden beast` number, since 5 + 2 + 96 + 5 + 7 + 31 + 520 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (52965731527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6398104 + ... + 6406376.

It is an arithmetic number, because the mean of its divisors is an integer number (381439674).

Almost surely, 252965731520 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 52965731520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106803108720).

52965731520 is an abundant number, since it is smaller than the sum of its proper divisors (160640485920).

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

52965731520 is a wasteful number, since it uses less digits than its factorization.

52965731520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8334 (or 8315 counting only the distinct ones).

The product of its (nonzero) digits is 567000, while the sum is 45.

The spelling of 52965731520 in words is "fifty-two billion, nine hundred sixty-five million, seven hundred thirty-one thousand, five hundred twenty".