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681892596 = 2232711319107
BaseRepresentation
bin101000101001001…
…101101011110100
31202112002201210100
4220221031223310
52344031030341
6151355154100
722616664030
oct5051155364
91675081710
10681892596
1131aa02000
12170445930
13ab36c558
14667c31c0
153ece73b6
hex28a4daf4

681892596 has 288 divisors, whose sum is σ = 2302110720. Its totient is φ = 166224960.

The previous prime is 681892579. The next prime is 681892609. The reversal of 681892596 is 695298186.

It is a happy number.

681892596 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6372775 + ... + 6372881.

It is an arithmetic number, because the mean of its divisors is an integer number (7993440).

Almost surely, 2681892596 is an apocalyptic number.

681892596 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 681892596, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1151055360).

681892596 is an abundant number, since it is smaller than the sum of its proper divisors (1620218124).

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

681892596 is a wasteful number, since it uses less digits than its factorization.

681892596 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 149 counting only the distinct ones).

The product of its digits is 1866240, while the sum is 54.

The square root of 681892596 is about 26113.0732775750. The cubic root of 681892596 is about 880.1810044339.

The spelling of 681892596 in words is "six hundred eighty-one million, eight hundred ninety-two thousand, five hundred ninety-six".