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680343695328 = 25311319713947
BaseRepresentation
bin10011110011001111010…
…01001110111111100000
32102001002022200122211210
421321213221032333200
542121320441222303
61240313502310120
7100103356664553
oct11714751167740
92361068618753
10680343695328
11242594309000
12aba31888340
134c20504b92b
1424d0092869a
1512a6d5cc203
hex9e67a4efe0

680343695328 has 384 divisors, whose sum is σ = 2097399951360. Its totient is φ = 192514291200.

The previous prime is 680343695323. The next prime is 680343695431. The reversal of 680343695328 is 823596343086.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (680343695321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 172367851 + ... + 172371797.

It is an arithmetic number, because the mean of its divisors is an integer number (5461979040).

Almost surely, 2680343695328 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 680343695328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1048699975680).

680343695328 is an abundant number, since it is smaller than the sum of its proper divisors (1417056256032).

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

680343695328 is a wasteful number, since it uses less digits than its factorization.

680343695328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4083 (or 4053 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 57.

The spelling of 680343695328 in words is "six hundred eighty billion, three hundred forty-three million, six hundred ninety-five thousand, three hundred twenty-eight".