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56678690970 = 2325113110871699
BaseRepresentation
bin110100110010010100…
…000011000010011010
312102022000221211021200
4310302110003002122
51412034221102340
642012101015030
74044356631666
oct646224030232
9172260854250
1056678690970
1122045709470
12ab996b4476
135463626985
142a5972b8a6
15171ad91330
hexd3250309a

56678690970 has 192 divisors, whose sum is σ = 166197657600. Its totient is φ = 13277001600.

The previous prime is 56678690941. The next prime is 56678690989. The reversal of 56678690970 is 7909687665.

56678690970 is a `hidden beast` number, since 566 + 7 + 8 + 69 + 0 + 9 + 7 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 56678690898 and 56678690907.

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, 33359181 + ... + 33360879.

It is an arithmetic number, because the mean of its divisors is an integer number (865612800).

Almost surely, 256678690970 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56678690970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83098828800).

56678690970 is an abundant number, since it is smaller than the sum of its proper divisors (109518966630).

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

56678690970 is a wasteful number, since it uses less digits than its factorization.

56678690970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2841 (or 2838 counting only the distinct ones).

The product of its (nonzero) digits is 34292160, while the sum is 63.

It can be divided in two parts, 566786 and 90970, that added together give a palindrome (657756).

The spelling of 56678690970 in words is "fifty-six billion, six hundred seventy-eight million, six hundred ninety thousand, nine hundred seventy".