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682313766912 = 211381729103
BaseRepresentation
bin10011110110111010001…
…00011101100000000000
32102020011121201200000000
421323131010131200000
542134334311020122
61241241200000000
7100203241216521
oct11733504354000
92366147650000
10682313766912
11243405373a38
12b02a1600000
134c45a24776b
142504a432848
1512b3652c0ac
hex9edd11d800

682313766912 has 864 divisors, whose sum is σ = 2263185943200. Its totient is φ = 204671287296.

The previous prime is 682313766889. The next prime is 682313766931. The reversal of 682313766912 is 219667313286.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6624405453 + ... + 6624405555.

It is an arithmetic number, because the mean of its divisors is an integer number (2619428175).

Almost surely, 2682313766912 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 682313766912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1131592971600).

682313766912 is an abundant number, since it is smaller than the sum of its proper divisors (1580872176288).

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

682313766912 is an equidigital number, since it uses as much as digits as its factorization.

682313766912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 154 counting only the distinct ones).

The product of its digits is 3919104, while the sum is 54.

The spelling of 682313766912 in words is "six hundred eighty-two billion, three hundred thirteen million, seven hundred sixty-six thousand, nine hundred twelve".