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52598242944 = 2734131922347
BaseRepresentation
bin110000111111000110…
…010111111010000000
312000202122212120220000
4300333012113322000
51330210122233234
640055134520000
73541301455032
oct607706277200
9160678776800
1052598242944
1120341378475
12a23b066000
134c63148ca0
14278d835c52
15157ca29899
hexc3f197e80

52598242944 has 960 divisors, whose sum is σ = 189596816640. Its totient is φ = 14353625088.

The previous prime is 52598242901. The next prime is 52598242951. The reversal of 52598242944 is 44924289525.

52598242944 is a `hidden beast` number, since 5 + 2 + 598 + 2 + 4 + 2 + 9 + 44 = 666.

52598242944 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1119111529 + ... + 1119111575.

It is an arithmetic number, because the mean of its divisors is an integer number (197496684).

Almost surely, 252598242944 is an apocalyptic number.

52598242944 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 52598242944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94798408320).

52598242944 is an abundant number, since it is smaller than the sum of its proper divisors (136998573696).

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

52598242944 is a wasteful number, since it uses less digits than its factorization.

52598242944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 107 counting only the distinct ones).

The product of its digits is 8294400, while the sum is 54.

The spelling of 52598242944 in words is "fifty-two billion, five hundred ninety-eight million, two hundred forty-two thousand, nine hundred forty-four".