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52955136000 = 214325313217
BaseRepresentation
bin110001010100010111…
…110100000000000000
312001200112102122010100
4301110113310000000
51331423003323000
640154404202400
73553164141414
oct612427640000
9161615378110
1052955136000
1120504880508
12a31a699400
134cbc076800
1427c4db8d44
15159e025a00
hexc545f4000

52955136000 has 1080 divisors, whose sum is σ = 218891161944. Its totient is φ = 12268339200.

The previous prime is 52955135993. The next prime is 52955136019. The reversal of 52955136000 is 63155925.

52955136000 is a `hidden beast` number, since 5 + 295 + 5 + 1 + 360 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 47405481984 + 5549654016 = 217728^2 + 74496^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3115007992 + ... + 3115008008.

Almost surely, 252955136000 is an apocalyptic number.

52955136000 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 52955136000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109445580972).

52955136000 is an abundant number, since it is smaller than the sum of its proper divisors (165936025944).

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

52955136000 is a wasteful number, since it uses less digits than its factorization.

52955136000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 40500, while the sum is 36.

The spelling of 52955136000 in words is "fifty-two billion, nine hundred fifty-five million, one hundred thirty-six thousand".