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681466080680 = 235711217279881
BaseRepresentation
bin10011110101010101000…
…10110010110110101000
32102010222112122202002122
421322222202302312220
542131120304040210
61241021115050412
7100143236053220
oct11725242626650
92363875582078
10681466080680
1124300a922800
12b00a5740a08
134c353739688
1424da9a13080
1512ad6dd5b55
hex9eaa8b2da8

681466080680 has 576 divisors, whose sum is σ = 2074345459200. Its totient is φ = 197156044800.

The previous prime is 681466080671. The next prime is 681466080683. The reversal of 681466080680 is 86080664186.

681466080680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (681466080683) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 773513840 + ... + 773514720.

It is an arithmetic number, because the mean of its divisors is an integer number (3601294200).

Almost surely, 2681466080680 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 681466080680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1037172729600).

681466080680 is an abundant number, since it is smaller than the sum of its proper divisors (1392879378520).

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

681466080680 is a wasteful number, since it uses less digits than its factorization.

681466080680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1034 (or 1002 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 53.

The spelling of 681466080680 in words is "six hundred eighty-one billion, four hundred sixty-six million, eighty thousand, six hundred eighty".