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382506674868 = 22341916181027
BaseRepresentation
bin1011001000011110010…
…11001010101010110100
31100120022112210101020000
411210033023022222310
522231333202043433
6451415433311300
736430605043053
oct5441713125264
91316275711200
10382506674868
111382470562aa
1262170865530
132a0bb38c096
1414728b8839a
159e3ac76113
hex590f2caab4

382506674868 has 60 divisors (see below), whose sum is σ = 1005183497472. Its totient is φ = 126834653520.

The previous prime is 382506674861. The next prime is 382506674929. The reversal of 382506674868 is 868476605283.

382506674868 is a `hidden beast` number, since 3 + 8 + 2 + 506 + 67 + 4 + 8 + 68 = 666.

It is a super-2 number, since 2×3825066748682 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (382506674861) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3028630 + ... + 3152397.

Almost surely, 2382506674868 is an apocalyptic number.

It is an amenable number.

382506674868 is an abundant number, since it is smaller than the sum of its proper divisors (622676822604).

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

382506674868 is a wasteful number, since it uses less digits than its factorization.

382506674868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6181234 (or 6181223 counting only the distinct ones).

The product of its (nonzero) digits is 92897280, while the sum is 63.

The spelling of 382506674868 in words is "three hundred eighty-two billion, five hundred six million, six hundred seventy-four thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 191 324 382 573 764 1146 1719 2292 3438 5157 6876 10314 15471 20628 30942 61884 6181027 12362054 18543081 24724108 37086162 55629243 74172324 111258486 166887729 222516972 333775458 500663187 667550916 1001326374 1180576157 2002652748 2361152314 3541728471 4722304628 7083456942 10625185413 14166913884 21250370826 31875556239 42500741652 63751112478 95626668717 127502224956 191253337434 382506674868