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56368391184 = 243673747397
BaseRepresentation
bin110100011111110100…
…010110010000010000
312101111102001222000000
4310133310112100100
51410420302004214
641521214130000
74033601263620
oct643764262020
9171442058000
1056368391184
11219a653a666
12ab117b0900
135414260a31
142a2a436880
1516ed9ea809
hexd1fd16410

56368391184 has 560 divisors, whose sum is σ = 196779452928. Its totient is φ = 15297942528.

The previous prime is 56368391173. The next prime is 56368391201. The reversal of 56368391184 is 48119386365.

56368391184 is a `hidden beast` number, since 563 + 68 + 3 + 9 + 1 + 18 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 56368391184.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 141985674 + ... + 141986070.

Almost surely, 256368391184 is an apocalyptic number.

56368391184 is a gapful number since it is divisible by the number (54) 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 56368391184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98389726464).

56368391184 is an abundant number, since it is smaller than the sum of its proper divisors (140411061744).

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

56368391184 is a wasteful number, since it uses less digits than its factorization.

56368391184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514 (or 493 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 54.

The spelling of 56368391184 in words is "fifty-six billion, three hundred sixty-eight million, three hundred ninety-one thousand, one hundred eighty-four".