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164051112 = 23353128971
BaseRepresentation
bin10011100011100…
…11100010101000
3102102200122211010
421301303202220
5313444113422
624140103520
74031261061
oct1161634250
9372618733
10164051112
118466a035
1246b34ba0
1327cab684
1417b05568
15e607b0c
hex9c738a8

164051112 has 32 divisors (see below), whose sum is σ = 417869280. Its totient is φ = 53651520.

The previous prime is 164051089. The next prime is 164051113. The reversal of 164051112 is 211150461.

164051112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (164051113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63214 + ... + 65757.

It is an arithmetic number, because the mean of its divisors is an integer number (13058415).

Almost surely, 2164051112 is an apocalyptic number.

164051112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

164051112 is an abundant number, since it is smaller than the sum of its proper divisors (253818168).

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

164051112 is a wasteful number, since it uses less digits than its factorization.

164051112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129033 (or 129029 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 21.

The square root of 164051112 is about 12808.2439077338. The cubic root of 164051112 is about 547.4272257894.

The spelling of 164051112 in words is "one hundred sixty-four million, fifty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 53 106 159 212 318 424 636 1272 128971 257942 386913 515884 773826 1031768 1547652 3095304 6835463 13670926 20506389 27341852 41012778 54683704 82025556 164051112