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52921382976 = 263272111737271
BaseRepresentation
bin110001010010010111…
…000011100001000000
312001121011220210200100
4301102113003201000
51331340333223401
640151200522400
73552304222200
oct612227034100
9161534823610
1052921382976
1120497817350
12a30b320400
134cb50894c7
1427c0710400
15159b0a9b86
hexc525c3840

52921382976 has 1008 divisors, whose sum is σ = 210101029632. Its totient is φ = 12541132800.

The previous prime is 52921382963. The next prime is 52921382977. The reversal of 52921382976 is 67928312925.

52921382976 is a `hidden beast` number, since 529 + 21 + 3 + 8 + 2 + 97 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is not an unprimeable number, because it can be changed into a prime (52921382977) 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 143 ways as a sum of consecutive naturals, for example, 195281721 + ... + 195281991.

Almost surely, 252921382976 is an apocalyptic number.

52921382976 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52921382976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105050514816).

52921382976 is an abundant number, since it is smaller than the sum of its proper divisors (157179646656).

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

52921382976 is a wasteful number, since it uses less digits than its factorization.

52921382976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 348 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 54.

The spelling of 52921382976 in words is "fifty-two billion, nine hundred twenty-one million, three hundred eighty-two thousand, nine hundred seventy-six".