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163159992 = 233219412909
BaseRepresentation
bin10011011100110…
…01111110111000
3102101000101102200
421232121332320
5313232104432
624105030200
74020560052
oct1156317670
9371011380
10163159992
1184110576
1246785360
1327a58b98
14179528d2
15e4cda7c
hex9b99fb8

163159992 has 96 divisors (see below), whose sum is σ = 476658000. Its totient is φ = 50250240.

The previous prime is 163159967. The next prime is 163160009. The reversal of 163159992 is 299951361.

It is a happy number.

163159992 is a `hidden beast` number, since 1 + 631 + 5 + 9 + 9 + 9 + 2 = 666.

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 23 ways as a sum of consecutive naturals, for example, 54634 + ... + 57542.

Almost surely, 2163159992 is an apocalyptic number.

163159992 is a gapful number since it is divisible by the number (12) 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 163159992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238329000).

163159992 is an abundant number, since it is smaller than the sum of its proper divisors (313498008).

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

163159992 is a wasteful number, since it uses less digits than its factorization.

163159992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2981 (or 2974 counting only the distinct ones).

The product of its digits is 131220, while the sum is 45.

The square root of 163159992 is about 12773.4095683181. The cubic root of 163159992 is about 546.4342236723.

The spelling of 163159992 in words is "one hundred sixty-three million, one hundred fifty-nine thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 41 57 72 76 82 114 123 152 164 171 228 246 328 342 369 456 492 684 738 779 984 1368 1476 1558 2337 2909 2952 3116 4674 5818 6232 7011 8727 9348 11636 14022 17454 18696 23272 26181 28044 34908 52362 55271 56088 69816 104724 110542 119269 165813 209448 221084 238538 331626 357807 442168 477076 497439 663252 715614 954152 994878 1073421 1326504 1431228 1989756 2146842 2266111 2862456 3979512 4293684 4532222 6798333 8587368 9064444 13596666 18128888 20394999 27193332 40789998 54386664 81579996 163159992