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68637818880 = 217355431
BaseRepresentation
bin111111111011001000…
…100000000000000000
320120011111011110200000
4333323020200000000
52111032240201010
651310510400000
74646623556061
oct777310400000
9216144143600
1068637818880
1127122294254
1211376800000
13661b17aa17
143471b4a568
151bbac3b7c0
hexffb220000

68637818880 has 432 divisors, whose sum is σ = 247328774784. Its totient is φ = 18260951040.

The previous prime is 68637818867. The next prime is 68637818939. The reversal of 68637818880 is 8881873686.

68637818880 is a `hidden beast` number, since 6 + 8 + 6 + 378 + 188 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×686378188802 (a number of 22 digits) contains 22 as substring.

It is a nialpdrome in base 16.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 159252265 + ... + 159252695.

It is an arithmetic number, because the mean of its divisors is an integer number (572520312).

Almost surely, 268637818880 is an apocalyptic number.

68637818880 is a gapful number since it is divisible by the number (60) 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 68637818880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123664387392).

68637818880 is an abundant number, since it is smaller than the sum of its proper divisors (178690955904).

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

68637818880 is an frugal number, since it uses more digits than its factorization.

68637818880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 24772608, while the sum is 63.

The spelling of 68637818880 in words is "sixty-eight billion, six hundred thirty-seven million, eight hundred eighteen thousand, eight hundred eighty".