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52361809344 = 26331317314423
BaseRepresentation
bin110000110001000000…
…011100110111000000
312000011011222111222000
4300301000130313000
51324214110344334
640015451144000
73532401015165
oct606100346700
9160134874860
1052361809344
112022a9703a9
12a193a45000
134c26176550
14276a28c06c
151566dc5299
hexc3101cdc0

52361809344 has 448 divisors, whose sum is σ = 181229690880. Its totient is φ = 14671134720.

The previous prime is 52361809267. The next prime is 52361809349. The reversal of 52361809344 is 44390816325.

52361809344 is a `hidden beast` number, since 5 + 23 + 618 + 0 + 9 + 3 + 4 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 52361809344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52361809349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11836317 + ... + 11840739.

It is an arithmetic number, because the mean of its divisors is an integer number (404530560).

Almost surely, 252361809344 is an apocalyptic number.

52361809344 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 52361809344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90614845440).

52361809344 is an abundant number, since it is smaller than the sum of its proper divisors (128867881536).

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

52361809344 is a wasteful number, since it uses less digits than its factorization.

52361809344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4505 (or 4489 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 52361809344 in words is "fifty-two billion, three hundred sixty-one million, eight hundred nine thousand, three hundred forty-four".