Search a number
-
+
52361857912320 = 293251117313071277
BaseRepresentation
bin10111110011111011100011…
…11100001100111000000000
320212101202002220111200011200
423321331301330030320000
523330344041111143240
6303210412213141200
714013006436424325
oct1371756174147000
9225352086450150
1052361857912320
11157585a27a2260
125a580b432a800
13232a91842bb18
14cd048271cb4c
1560c0babe6930
hex2f9f71f0ce00

52361857912320 has 1920 divisors, whose sum is σ = 217097856847872. Its totient is φ = 11515015987200.

The previous prime is 52361857912291. The next prime is 52361857912339. The reversal of 52361857912320 is 2321975816325.

52361857912320 is a `hidden beast` number, since 5 + 2 + 3 + 61 + 8 + 579 + 1 + 2 + 3 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 41003803522 + ... + 41003804798.

Almost surely, 252361857912320 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 52361857912320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108548928423936).

52361857912320 is an abundant number, since it is smaller than the sum of its proper divisors (164735998935552).

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

52361857912320 is a wasteful number, since it uses less digits than its factorization.

52361857912320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1672 (or 1653 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 52361857912320 in words is "fifty-two trillion, three hundred sixty-one billion, eight hundred fifty-seven million, nine hundred twelve thousand, three hundred twenty".