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8325682585616 = 2411217538953629
BaseRepresentation
bin111100100100111100101…
…0110100110000000010000
31002110221001010121221212002
41321021321112212000100
52042401444220214431
625412433224053132
71516340114214524
oct171117126460020
932427033557762
108325682585616
11271a9a1851200
12b256a63041a8
134851544ac096
1420ad7268bd84
15e68841c93cb
hex792795a6010

8325682585616 has 240 divisors, whose sum is σ = 19343270545200. Its totient is φ = 3455256330240.

The previous prime is 8325682585609. The next prime is 8325682585651. The reversal of 8325682585616 is 6165852865238.

It can be written as a sum of positive squares in 8 ways, for example, as 1100317081600 + 7225365504016 = 1048960^2 + 2688004^2 .

It is a super-3 number, since 3×83256825856163 (a number of 40 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 155219090 + ... + 155272718.

It is an arithmetic number, because the mean of its divisors is an integer number (80596960605).

Almost surely, 28325682585616 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 8325682585616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9671635272600).

8325682585616 is an abundant number, since it is smaller than the sum of its proper divisors (11017587959584).

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

8325682585616 is a wasteful number, since it uses less digits than its factorization.

8325682585616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53818 (or 53801 counting only the distinct ones).

The product of its digits is 165888000, while the sum is 65.

The spelling of 8325682585616 in words is "eight trillion, three hundred twenty-five billion, six hundred eighty-two million, five hundred eighty-five thousand, six hundred sixteen".