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52987893120 = 2734519232339
BaseRepresentation
bin110001010110010100…
…110001010110000000
312001202211001212110000
4301112110301112000
51332004400034440
640201534240000
73554042442261
oct612624612600
9161684055400
1052987893120
1120521314408
12a329656000
134cc5aa5716
1427c94a4968
1515a1d46730
hexc56531580

52987893120 has 640 divisors, whose sum is σ = 207938016000. Its totient is φ = 12798922752.

The previous prime is 52987893109. The next prime is 52987893163. The reversal of 52987893120 is 2139878925.

52987893120 is a `hidden beast` number, since 529 + 8 + 7 + 8 + 93 + 1 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 22652911 + ... + 22655249.

It is an arithmetic number, because the mean of its divisors is an integer number (324903150).

Almost surely, 252987893120 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 52987893120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103969008000).

52987893120 is an abundant number, since it is smaller than the sum of its proper divisors (154950122880).

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

52987893120 is a wasteful number, since it uses less digits than its factorization.

52987893120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2412 (or 2391 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 52987893120 in words is "fifty-two billion, nine hundred eighty-seven million, eight hundred ninety-three thousand, one hundred twenty".