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682685728680 = 23351731371392099
BaseRepresentation
bin10011110111100110011…
…11011000011110101000
32102021010112122021121210
421323303033120132220
542141120021304210
61241342124233120
7100215405643254
oct11736317303650
92367115567553
10682685728680
1124358632935a
12b038609b7a0
134c4b931cc97
14250839b9264
1512b59002e20
hex9ef33d87a8

682685728680 has 512 divisors, whose sum is σ = 2316625920000. Its totient is φ = 160095191040.

The previous prime is 682685728667. The next prime is 682685728709. The reversal of 682685728680 is 86827586286.

It is a happy 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 127 ways as a sum of consecutive naturals, for example, 325242271 + ... + 325244369.

It is an arithmetic number, because the mean of its divisors is an integer number (4524660000).

Almost surely, 2682685728680 is an apocalyptic number.

682685728680 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 682685728680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1158312960000).

682685728680 is an abundant number, since it is smaller than the sum of its proper divisors (1633940191320).

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

682685728680 is a wasteful number, since it uses less digits than its factorization.

682685728680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2337 (or 2333 counting only the distinct ones).

The product of its (nonzero) digits is 123863040, while the sum is 66.

The spelling of 682685728680 in words is "six hundred eighty-two billion, six hundred eighty-five million, seven hundred twenty-eight thousand, six hundred eighty".