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682609919680 = 26513232310187
BaseRepresentation
bin10011110111011101011…
…10001100011011000000
32102020221020222210020001
421323232232030123000
542140441114412210
61241330415325344
7100213465403623
oct11735656143300
92366836883201
10682609919680
1124354755a997
12b0364820854
134c4a66c93a0
14250778c3dba
1512b5252b03a
hex9eeeb8c6c0

682609919680 has 168 divisors, whose sum is σ = 1829924327952. Its totient is φ = 241081522176.

The previous prime is 682609919669. The next prime is 682609919687. The reversal of 682609919680 is 86919906286.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is not an unprimeable number, because it can be changed into a prime (682609919687) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2045547 + ... + 2355733.

It is an arithmetic number, because the mean of its divisors is an integer number (10892406714).

Almost surely, 2682609919680 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 682609919680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (914962163976).

682609919680 is an abundant number, since it is smaller than the sum of its proper divisors (1147314408272).

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

682609919680 is a wasteful number, since it uses less digits than its factorization.

682609919680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310263 (or 310230 counting only the distinct ones).

The product of its (nonzero) digits is 20155392, while the sum is 64.

The spelling of 682609919680 in words is "six hundred eighty-two billion, six hundred nine million, nine hundred nineteen thousand, six hundred eighty".