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52861135800 = 233521123833361
BaseRepresentation
bin110001001110110001…
…001110101110111000
312001102222112221002110
4301032301032232320
51331224422321200
640141205332320
73550643145354
oct611661165670
9161388487073
1052861135800
11204668077a0
12a2b31070a0
134ca5753ba5
1427b670a464
151595b58b50
hexc4ec4ebb8

52861135800 has 192 divisors, whose sum is σ = 178894978560. Its totient is φ = 12805632000.

The previous prime is 52861135787. The next prime is 52861135829. The reversal of 52861135800 is 853116825.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15726120 + ... + 15729480.

It is an arithmetic number, because the mean of its divisors is an integer number (931744680).

Almost surely, 252861135800 is an apocalyptic number.

52861135800 is a gapful number since it is divisible by the number (50) 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 52861135800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89447489280).

52861135800 is an abundant number, since it is smaller than the sum of its proper divisors (126033842760).

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

52861135800 is a wasteful number, since it uses less digits than its factorization.

52861135800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5774 (or 5765 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 39.

The spelling of 52861135800 in words is "fifty-two billion, eight hundred sixty-one million, one hundred thirty-five thousand, eight hundred".