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163108992 = 2732997151
BaseRepresentation
bin10011011100011…
…01100010000000
3102100220210110210
421232031202000
5313223441432
624103554120
74020255264
oct1156154200
9370823423
10163108992
1184086222
124675b940
1327a3b8c7
141793c0a4
15e4bd8cc
hex9b8d880

163108992 has 128 divisors (see below), whose sum is σ = 455817600. Its totient is φ = 51609600.

The previous prime is 163108991. The next prime is 163108997. The reversal of 163108992 is 299801361.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 163108992.

It is not an unprimeable number, because it can be changed into a prime (163108991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1080117 + ... + 1080267.

It is an arithmetic number, because the mean of its divisors is an integer number (3561075).

Almost surely, 2163108992 is an apocalyptic number.

163108992 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 163108992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227908800).

163108992 is an abundant number, since it is smaller than the sum of its proper divisors (292708608).

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

163108992 is a wasteful number, since it uses less digits than its factorization.

163108992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 39.

The square root of 163108992 is about 12771.4130776512. The cubic root of 163108992 is about 546.3772835503.

The spelling of 163108992 in words is "one hundred sixty-three million, one hundred eight thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 97 116 128 151 174 192 194 232 291 302 348 384 388 453 464 582 604 696 776 906 928 1164 1208 1392 1552 1812 1856 2328 2416 2784 2813 3104 3624 3712 4379 4656 4832 5568 5626 6208 7248 8439 8758 9312 9664 11136 11252 12416 13137 14496 14647 16878 17516 18624 19328 22504 26274 28992 29294 33756 35032 37248 43941 45008 52548 57984 58588 67512 70064 87882 90016 105096 117176 135024 140128 175764 180032 210192 234352 270048 280256 351528 360064 420384 424763 468704 540096 560512 703056 840768 849526 937408 1080192 1274289 1406112 1681536 1699052 1874816 2548578 2812224 3398104 5097156 5624448 6796208 10194312 13592416 20388624 27184832 40777248 54369664 81554496 163108992