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53725527072 = 25377215667
BaseRepresentation
bin110010000010010010…
…100111110000100000
312010200020001120000000
4302002102213300200
51340012213331242
640403044300000
73611240305500
oct620222476040
9163606046000
1053725527072
112086a728748
12a4b46a1600
1350b2860709
142859437a00
1515e699ea4c
hexc824a7c20

53725527072 has 288 divisors, whose sum is σ = 184545224640. Its totient is φ = 15349170816.

The previous prime is 53725527067. The next prime is 53725527083. The reversal of 53725527072 is 27072552735.

53725527072 is a `hidden beast` number, since 5 + 37 + 25 + 527 + 0 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 3421383 + ... + 3437049.

It is an arithmetic number, because the mean of its divisors is an integer number (640782030).

Almost surely, 253725527072 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 53725527072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92272612320).

53725527072 is an abundant number, since it is smaller than the sum of its proper divisors (130819697568).

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

53725527072 is an equidigital number, since it uses as much as digits as its factorization.

53725527072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15712 (or 15679 counting only the distinct ones).

The product of its (nonzero) digits is 1029000, while the sum is 45.

The spelling of 53725527072 in words is "fifty-three billion, seven hundred twenty-five million, five hundred twenty-seven thousand, seventy-two".