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13827844008 = 23321141425839
BaseRepresentation
bin11001110000011010…
…00010011110101000
31022200200112020221200
430320031002132220
5211304412002013
610204042404200
7666444510006
oct147015023650
938620466850
1013827844008
115956503960
12281ab00660
1313c4a53424
149526a1a76
1555de78e73
hex3383427a8

13827844008 has 96 divisors (see below), whose sum is σ = 41851555200. Its totient is φ = 4088044800.

The previous prime is 13827843989. The next prime is 13827844117. The reversal of 13827844008 is 80044872831.

13827844008 is a `hidden beast` number, since 138 + 2 + 78 + 440 + 0 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 180448 + ... + 245391.

It is an arithmetic number, because the mean of its divisors is an integer number (435953700).

Almost surely, 213827844008 is an apocalyptic number.

13827844008 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13827844008 is an abundant number, since it is smaller than the sum of its proper divisors (28023711192).

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

13827844008 is a wasteful number, since it uses less digits than its factorization.

13827844008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425903 (or 425896 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 13827844008 in words is "thirteen billion, eight hundred twenty-seven million, eight hundred forty-four thousand, eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 41 44 66 72 82 88 99 123 132 164 198 246 264 328 369 396 451 492 738 792 902 984 1353 1476 1804 2706 2952 3608 4059 5412 8118 10824 16236 32472 425839 851678 1277517 1703356 2555034 3406712 3832551 4684229 5110068 7665102 9368458 10220136 14052687 15330204 17459399 18736916 28105374 30660408 34918798 37473832 42158061 52378197 56210748 69837596 84316122 104756394 112421496 139675192 157134591 168632244 192053389 209512788 314269182 337264488 384106778 419025576 576160167 628538364 768213556 1152320334 1257076728 1536427112 1728480501 2304640668 3456961002 4609281336 6913922004 13827844008