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56688888888 = 23322979557617
BaseRepresentation
bin110100110010111010…
…111100110000111000
312102022202010221012100
4310302322330300320
51412044323421023
642013103343400
74044542414352
oct646272746070
9172282127170
1056688888888
11220504442a5
12aba0bb1b60
135465787648
142a5ac240d2
15171bc07c43
hexd32ebcc38

56688888888 has 192 divisors, whose sum is σ = 161386992000. Its totient is φ = 17952270336.

The previous prime is 56688888811. The next prime is 56688888899. The reversal of 56688888888 is 88888888665.

56688888888 is a modest number, since divided by 888888 gives 56688 as remainder.

It is a plaindrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 91877956 + ... + 91878572.

It is an arithmetic number, because the mean of its divisors is an integer number (840557250).

Almost surely, 256688888888 is an apocalyptic number.

56688888888 is a gapful number since it is divisible by the number (58) 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 56688888888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80693496000).

56688888888 is an abundant number, since it is smaller than the sum of its proper divisors (104698103112).

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

56688888888 is a wasteful number, since it uses less digits than its factorization.

56688888888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1294 (or 1287 counting only the distinct ones).

The product of its digits is 3019898880, while the sum is 81.

The spelling of 56688888888 in words is "fifty-six billion, six hundred eighty-eight million, eight hundred eighty-eight thousand, eight hundred eighty-eight".