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682396323840 = 21233571123147
BaseRepresentation
bin10011110111000011111…
…11011001000000000000
32102020101101001222211000
421323201333121000000
542140021424330330
61241253305252000
7100205263022340
oct11734177310000
92366341058730
10682396323840
11243447a31200
12b0305194000
134c47139190a
14250573a2d20
1512b3d8d8560
hex9ee1fd9000

682396323840 has 2496 divisors, whose sum is σ = 3212780175360. Its totient is φ = 134302924800.

The previous prime is 682396323839. The next prime is 682396323863. The reversal of 682396323840 is 48323693286.

682396323840 is a `hidden beast` number, since 6 + 8 + 239 + 6 + 323 + 84 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 14519070697 + ... + 14519070743.

Almost surely, 2682396323840 is an apocalyptic number.

682396323840 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 682396323840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1606390087680).

682396323840 is an abundant number, since it is smaller than the sum of its proper divisors (2530383851520).

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

682396323840 is a wasteful number, since it uses less digits than its factorization.

682396323840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 54.

The spelling of 682396323840 in words is "six hundred eighty-two billion, three hundred ninety-six million, three hundred twenty-three thousand, eight hundred forty".