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685093135860 = 22325737310131439
BaseRepresentation
bin10011111100000101011…
…10111010010111110100
32102111100022121020102200
421332002232322113310
542211032320321420
61242421043304500
7100332150400140
oct11760256722764
92374308536380
10685093135860
1124460123aa71
12b093837b130
134c7b1000283
1425231606220
1512c4a53db90
hex9f82bba5f4

685093135860 has 288 divisors, whose sum is σ = 2385364101120. Its totient is φ = 155910306816.

The previous prime is 685093135849. The next prime is 685093135901. The reversal of 685093135860 is 68531390586.

685093135860 is a `hidden beast` number, since 6 + 8 + 50 + 9 + 3 + 1 + 3 + 586 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 685093135797 and 685093135806.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 476089021 + ... + 476090459.

It is an arithmetic number, because the mean of its divisors is an integer number (8282514240).

Almost surely, 2685093135860 is an apocalyptic number.

685093135860 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 685093135860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1192682050560).

685093135860 is an abundant number, since it is smaller than the sum of its proper divisors (1700270965260).

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

685093135860 is a wasteful number, since it uses less digits than its factorization.

685093135860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2847 (or 2842 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 685093135860 in words is "six hundred eighty-five billion, ninety-three million, one hundred thirty-five thousand, eight hundred sixty".