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52852653504 = 26327137163587
BaseRepresentation
bin110001001110010000…
…110111110111000000
312001102101120222120100
4301032100313313000
51331220234403004
640140303442400
73550511066550
oct611620676700
9161371528510
1052852653504
1120461a43932
12a2b02b6400
134ca3a74091
1427b553d160
151595030739
hexc4e437dc0

52852653504 has 336 divisors, whose sum is σ = 175766992128. Its totient is φ = 14873186304.

The previous prime is 52852653487. The next prime is 52852653527. The reversal of 52852653504 is 40535625825.

52852653504 is a `hidden beast` number, since 5 + 2 + 85 + 2 + 65 + 3 + 504 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a self number, because there is not a number n which added to its sum of digits gives 52852653504.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 90038299 + ... + 90038885.

It is an arithmetic number, because the mean of its divisors is an integer number (523116048).

Almost surely, 252852653504 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 52852653504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87883496064).

52852653504 is an abundant number, since it is smaller than the sum of its proper divisors (122914338624).

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

52852653504 is a wasteful number, since it uses less digits than its factorization.

52852653504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 912 (or 899 counting only the distinct ones).

The product of its (nonzero) digits is 1440000, while the sum is 45.

The spelling of 52852653504 in words is "fifty-two billion, eight hundred fifty-two million, six hundred fifty-three thousand, five hundred four".