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56351804544 = 2733717731877
BaseRepresentation
bin110100011110110101…
…000100110010000000
312101110020212021102000
4310132311010302000
51410402030221134
641515422424000
74033310302230
oct643665046200
9171406767360
1056351804544
11219981408a2
12ab08132000
1354109a4159
142a28159cc0
1516ec320e99
hexd1ed44c80

56351804544 has 512 divisors, whose sum is σ = 204122073600. Its totient is φ = 14937882624.

The previous prime is 56351804519. The next prime is 56351804549. The reversal of 56351804544 is 44540815365.

56351804544 is a `hidden beast` number, since 5 + 635 + 1 + 8 + 0 + 4 + 5 + 4 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 56351804544.

It is not an unprimeable number, because it can be changed into a prime (56351804549) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30021334 + ... + 30023210.

It is an arithmetic number, because the mean of its divisors is an integer number (398675925).

Almost surely, 256351804544 is an apocalyptic number.

56351804544 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 56351804544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102061036800).

56351804544 is an abundant number, since it is smaller than the sum of its proper divisors (147770269056).

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

56351804544 is a wasteful number, since it uses less digits than its factorization.

56351804544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1997 (or 1979 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 45.

The spelling of 56351804544 in words is "fifty-six billion, three hundred fifty-one million, eight hundred four thousand, five hundred forty-four".