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68663790720 = 27355763073
BaseRepresentation
bin111111111100101011…
…100100110010000000
320120020022000222100000
4333330223210302000
52111110412300340
651313235200000
74650360406530
oct777453446200
9216208028300
1068663790720
1127135a13288
1211383446000
136623672385
14347538b4c0
151bbd16bd30
hexffcae4c80

68663790720 has 384 divisors, whose sum is σ = 281017376640. Its totient is φ = 15694331904.

The previous prime is 68663790703. The next prime is 68663790733. The reversal of 68663790720 is 2709736686.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 1057104 + ... + 1120176.

It is an arithmetic number, because the mean of its divisors is an integer number (731816085).

Almost surely, 268663790720 is an apocalyptic number.

68663790720 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 68663790720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140508688320).

68663790720 is an abundant number, since it is smaller than the sum of its proper divisors (212353585920).

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

68663790720 is an equidigital number, since it uses as much as digits as its factorization.

68663790720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63114 (or 63090 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 68663790720 in words is "sixty-eight billion, six hundred sixty-three million, seven hundred ninety thousand, seven hundred twenty".