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56112216840 = 233251917091151
BaseRepresentation
bin110100010000100011…
…000111101100001000
312100211120000221212100
4310100203013230020
51404404211414330
641435543313400
74024340654631
oct642043075410
9170746027770
1056112216840
112188497a029
12aa5ba4b860
1353a3168b94
142a043d0888
1516d6297060
hexd108c7b08

56112216840 has 192 divisors, whose sum is σ = 183737548800. Its totient is φ = 14851008000.

The previous prime is 56112216817. The next prime is 56112216871. The reversal of 56112216840 is 4861221165.

It is a happy number.

56112216840 is a `hidden beast` number, since 5 + 611 + 22 + 16 + 8 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 56112216795 and 56112216804.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48750265 + ... + 48751415.

It is an arithmetic number, because the mean of its divisors is an integer number (956966400).

Almost surely, 256112216840 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 56112216840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91868774400).

56112216840 is an abundant number, since it is smaller than the sum of its proper divisors (127625331960).

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

56112216840 is a wasteful number, since it uses less digits than its factorization.

56112216840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2068 (or 2061 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 56112216840 in words is "fifty-six billion, one hundred twelve million, two hundred sixteen thousand, eight hundred forty".