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56354965920 = 25375115
BaseRepresentation
bin110100011111000001…
…001000100110100000
312101110110210220000000
4310133001020212200
51410403332402140
641520014300000
74033346210121
oct643701104640
9171413726000
1056354965920
1121999a00000
12ab091b7600
1354115400a6
142a28740048
1516ec747a30
hexd1f0489a0

56354965920 has 576 divisors, whose sum is σ = 219645095040. Its totient is φ = 13661809920.

The previous prime is 56354965889. The next prime is 56354965957. The reversal of 56354965920 is 2956945365.

It is a happy number.

56354965920 is a `hidden beast` number, since 5 + 6 + 3 + 5 + 49 + 6 + 592 + 0 = 666.

It is a super-2 number, since 2×563549659202 (a number of 22 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 5123178715 + ... + 5123178725.

It is an arithmetic number, because the mean of its divisors is an integer number (381328290).

Almost surely, 256354965920 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 56354965920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109822547520).

56354965920 is an abundant number, since it is smaller than the sum of its proper divisors (163290129120).

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

56354965920 is an frugal number, since it uses more digits than its factorization.

56354965920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 8748000, while the sum is 54.

The spelling of 56354965920 in words is "fifty-six billion, three hundred fifty-four million, nine hundred sixty-five thousand, nine hundred twenty".