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52900168320 = 2732573971297
BaseRepresentation
bin110001010001000110…
…001000001010000000
312001112200222222122100
4301101012020022000
51331314420341240
640145122110400
73551626003656
oct612106101200
9161480888570
1052900168320
112048684747a
12a3041ab400
134cb086c25c
1427bb98add6
1515992b8e30
hexc51188280

52900168320 has 384 divisors, whose sum is σ = 187226479440. Its totient is φ = 13759414272.

The previous prime is 52900168309. The next prime is 52900168327. The reversal of 52900168320 is 2386100925.

It can be written as a sum of positive squares in 8 ways, for example, as 41488801344 + 11411366976 = 203688^2 + 106824^2 .

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (52900168327) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40785912 + ... + 40787208.

Almost surely, 252900168320 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 52900168320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93613239720).

52900168320 is an abundant number, since it is smaller than the sum of its proper divisors (134326311120).

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

52900168320 is a wasteful number, since it uses less digits than its factorization.

52900168320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1492 (or 1477 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 52900168320 in words is "fifty-two billion, nine hundred million, one hundred sixty-eight thousand, three hundred twenty".