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52641603072 = 2932191793359
BaseRepresentation
bin110001000001101011…
…110001111000000000
312000212200110111210200
4301001223301320000
51330302222244242
640103324125200
73542336146302
oct610153617000
9160780414720
1052641603072
11203638a3593
12a251696800
134c6c11b076
1427954c1972
15158174204c
hexc41af1e00

52641603072 has 240 divisors, whose sum is σ = 160864704000. Its totient is φ = 16525873152.

The previous prime is 52641603043. The next prime is 52641603089. The reversal of 52641603072 is 27030614625.

52641603072 is a `hidden beast` number, since 5 + 2 + 6 + 41 + 603 + 0 + 7 + 2 = 666.

It is a super-2 number, since 2×526416030722 (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15670129 + ... + 15673487.

It is an arithmetic number, because the mean of its divisors is an integer number (670269600).

Almost surely, 252641603072 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 52641603072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80432352000).

52641603072 is an abundant number, since it is smaller than the sum of its proper divisors (108223100928).

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

52641603072 is a wasteful number, since it uses less digits than its factorization.

52641603072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3581 (or 3562 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 52641603072 in words is "fifty-two billion, six hundred forty-one million, six hundred three thousand, seventy-two".