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5687381952 = 2635789587
BaseRepresentation
bin1010100101111111…
…01000111111000000
3112200100210221100000
411102333220333000
543121432210302
62340204200000
7260636643330
oct52277507700
915610727300
105687381952
11245941926a
121128839000
136c83a0885
143bd4b30c0
1523448531c
hex152fe8fc0

5687381952 has 336 divisors, whose sum is σ = 19571086080. Its totient is φ = 1603971072.

The previous prime is 5687381933. The next prime is 5687381957. The reversal of 5687381952 is 2591837865.

5687381952 is a `hidden beast` number, since 568 + 73 + 8 + 1 + 9 + 5 + 2 = 666.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5687381957) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9688603 + ... + 9689189.

It is an arithmetic number, because the mean of its divisors is an integer number (58247280).

Almost surely, 25687381952 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 5687381952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9785543040).

5687381952 is an abundant number, since it is smaller than the sum of its proper divisors (13883704128).

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

5687381952 is an equidigital number, since it uses as much as digits as its factorization.

5687381952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 710 (or 688 counting only the distinct ones).

The product of its digits is 3628800, while the sum is 54.

The square root of 5687381952 is about 75414.7329903116. The cubic root of 5687381952 is about 1784.9968956941.

The spelling of 5687381952 in words is "five billion, six hundred eighty-seven million, three hundred eighty-one thousand, nine hundred fifty-two".