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52932538368 = 2123719311
BaseRepresentation
bin110001010011000001…
…100111000000000000
312001121221220120000000
4301103001213000000
51331401212211433
640152240000000
73552501103203
oct612301470000
9161557816000
1052932538368
11204a3046586
12a313000000
134cb7493c28
1427c1db593a
15159c060113
hexc53067000

52932538368 has 416 divisors, whose sum is σ = 167646835200. Its totient is φ = 16661790720.

The previous prime is 52932538327. The next prime is 52932538369. The reversal of 52932538368 is 86383523925.

52932538368 is a `hidden beast` number, since 5 + 29 + 3 + 253 + 8 + 368 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52932538369) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 170200933 + ... + 170201243.

It is an arithmetic number, because the mean of its divisors is an integer number (402997200).

Almost surely, 252932538368 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 52932538368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83823417600).

52932538368 is an abundant number, since it is smaller than the sum of its proper divisors (114714296832).

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

52932538368 is an frugal number, since it uses more digits than its factorization.

52932538368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375 (or 335 counting only the distinct ones).

The product of its digits is 9331200, while the sum is 54.

The spelling of 52932538368 in words is "fifty-two billion, nine hundred thirty-two million, five hundred thirty-eight thousand, three hundred sixty-eight".