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52057810944 = 211343153191
BaseRepresentation
bin110000011110111000…
…110010100000000000
311222100222221210120000
4300132320302200000
51323103244422234
635525351320000
73522020043366
oct603670624000
9158328853500
1052057810944
1120094305957
12a10a080000
134ba81a8839
14273bb57636
15154a376899
hexc1ee32800

52057810944 has 480 divisors, whose sum is σ = 164393349120. Its totient is φ = 16389734400.

The previous prime is 52057810933. The next prime is 52057810949. The reversal of 52057810944 is 44901875025.

52057810944 is a `hidden beast` number, since 5 + 20 + 578 + 10 + 9 + 44 = 666.

It is a super-2 number, since 2×520578109442 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 52057810944.

It is not an unprimeable number, because it can be changed into a prime (52057810949) 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 39 ways as a sum of consecutive naturals, for example, 272553889 + ... + 272554079.

It is an arithmetic number, because the mean of its divisors is an integer number (342486144).

Almost surely, 252057810944 is an apocalyptic number.

52057810944 is a gapful number since it is divisible by the number (54) 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 52057810944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82196674560).

52057810944 is an abundant number, since it is smaller than the sum of its proper divisors (112335538176).

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

52057810944 is a wasteful number, since it uses less digits than its factorization.

52057810944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 52057810944 in words is "fifty-two billion, fifty-seven million, eight hundred ten thousand, nine hundred forty-four".