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68085858960 = 24310572971
BaseRepresentation
bin111111011010001110…
…111100001010010000
320111202000120000000000
4333122032330022100
52103414434441320
651140032130000
74630142152350
oct773216741220
9214660500000
1068085858960
1126969768629
1211241996900
136560a02412
14341c70ab60
151b8755cc90
hexfda3bc290

68085858960 has 880 divisors, whose sum is σ = 284680707840. Its totient is φ = 14814213120.

The previous prime is 68085858871. The next prime is 68085858977. The reversal of 68085858960 is 6985858086.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 175 ways as a sum of consecutive naturals, for example, 958955725 + ... + 958955795.

Almost surely, 268085858960 is an apocalyptic number.

68085858960 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 68085858960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142340353920).

68085858960 is an abundant number, since it is smaller than the sum of its proper divisors (216594848880).

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

68085858960 is an equidigital number, since it uses as much as digits as its factorization.

68085858960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 33177600, while the sum is 63.

The spelling of 68085858960 in words is "sixty-eight billion, eighty-five million, eight hundred fifty-eight thousand, nine hundred sixty".