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680107769856 = 216322939761
BaseRepresentation
bin10011110010110011001…
…01010000000000000000
32102000110212202101221100
421321121211100000000
542120330042113411
61240234233454400
7100064463442314
oct11713145200000
92360425671840
10680107769856
11242483118779
12ab986871400
134c1981c6568
1424cbb473b44
1512a57a28456
hex9e59950000

680107769856 has 204 divisors, whose sum is σ = 2032541589780. Its totient is φ = 218879754240.

The previous prime is 680107769843. The next prime is 680107769881. The reversal of 680107769856 is 658967701086.

It can be written as a sum of positive squares in 2 ways, for example, as 186292371456 + 493815398400 = 431616^2 + 702720^2 .

It is a junction number, because it is equal to n+sod(n) for n = 680107769793 and 680107769802.

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 11 ways as a sum of consecutive naturals, for example, 17085016 + ... + 17124776.

Almost surely, 2680107769856 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 680107769856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1016270794890).

680107769856 is an abundant number, since it is smaller than the sum of its proper divisors (1352433819924).

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

680107769856 is an equidigital number, since it uses as much as digits as its factorization.

680107769856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39828 (or 39795 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 63.

The spelling of 680107769856 in words is "six hundred eighty billion, one hundred seven million, seven hundred sixty-nine thousand, eight hundred fifty-six".