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680115211776 = 29357111343127
BaseRepresentation
bin10011110010110100000…
…01101000111000000000
32102000111101202111100000
421321122001220320000
542120333443234101
61240235101200000
7100064613626010
oct11713201507000
92360441674300
10680115211776
11242487340a20
12ab989260000
134c199900970
1424cbc44dc40
1512a584e8486
hex9e5a068e00

680115211776 has 1920 divisors, whose sum is σ = 2818635595776. Its totient is φ = 158018273280.

The previous prime is 680115211753. The next prime is 680115211871. The reversal of 680115211776 is 677112511086.

It is a super-2 number, since 2×6801152117762 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5355237825 + ... + 5355237951.

Almost surely, 2680115211776 is an apocalyptic number.

680115211776 is a gapful number since it is divisible by the number (66) 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 680115211776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1409317797888).

680115211776 is an abundant number, since it is smaller than the sum of its proper divisors (2138520384000).

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

680115211776 is a wasteful number, since it uses less digits than its factorization.

680115211776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 45.

The spelling of 680115211776 in words is "six hundred eighty billion, one hundred fifteen million, two hundred eleven thousand, seven hundred seventy-six".