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52637485824 = 2838711237
BaseRepresentation
bin110001000001011100…
…000100101100000000
312000212101201100000000
4301001130010230000
51330300144021244
640103100000000
73542256150540
oct610134045400
9160771640000
1052637485824
1120361541200
12a250230000
134c6b309021
142794b2d320
1515811cc169
hexc41704b00

52637485824 has 972 divisors, whose sum is σ = 203322460432. Its totient is φ = 13302558720.

The previous prime is 52637485801. The next prime is 52637485871. The reversal of 52637485824 is 42858473625.

52637485824 is a `hidden beast` number, since 5 + 26 + 37 + 4 + 8 + 582 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (972).

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (12902400) is a multiple of the sum of its prime divisors (60).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1422634734 + ... + 1422634770.

Almost surely, 252637485824 is an apocalyptic number.

52637485824 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 52637485824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101661230216).

52637485824 is an abundant number, since it is smaller than the sum of its proper divisors (150684974608).

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

52637485824 is an frugal number, since it uses more digits than its factorization.

52637485824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 60 counting only the distinct ones).

The product of its digits is 12902400, while the sum is 54.

The spelling of 52637485824 in words is "fifty-two billion, six hundred thirty-seven million, four hundred eighty-five thousand, eight hundred twenty-four".