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685809895680 = 283257313379
BaseRepresentation
bin10011111101011010111…
…01001000100100000000
32102120012021022102001200
421332231131020210000
542214014313130210
61243020130101200
7100356002634000
oct11765535104400
92376167272050
10685809895680
11244939897258
12b0ab841a800
134c89665a000
142529c8a4000
1512c8d4220c0
hex9fad748900

685809895680 has 1728 divisors, whose sum is σ = 3035585280000. Its totient is φ = 142866726912.

The previous prime is 685809895651. The next prime is 685809895781. The reversal of 685809895680 is 86598908586.

685809895680 is a `hidden beast` number, since 6 + 8 + 58 + 0 + 9 + 8 + 9 + 568 + 0 = 666.

It is a super-2 number, since 2×6858098956802 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 685809895599 and 685809895608.

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, 8681137881 + ... + 8681137959.

Almost surely, 2685809895680 is an apocalyptic number.

685809895680 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 685809895680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1517792640000).

685809895680 is an abundant number, since it is smaller than the sum of its proper divisors (2349775384320).

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

685809895680 is an equidigital number, since it uses as much as digits as its factorization.

685809895680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 298598400, while the sum is 72.

The spelling of 685809895680 in words is "six hundred eighty-five billion, eight hundred nine million, eight hundred ninety-five thousand, six hundred eighty".