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164128914 = 23217599091
BaseRepresentation
bin10011100100001…
…10100010010010
3102102211121112200
421302012202102
5314004111124
624141504030
74032033645
oct1162064222
9372747480
10164128914
1184712534
1246b72016
1328007c01
1417b25a5c
15e620bc9
hex9c86892

164128914 has 48 divisors (see below), whose sum is σ = 382955040. Its totient is φ = 50613120.

The previous prime is 164128879. The next prime is 164128919. The reversal of 164128914 is 419821461.

164128914 is a `hidden beast` number, since 1 + 641 + 2 + 8 + 9 + 1 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (164128919) 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 23 ways as a sum of consecutive naturals, for example, 13509 + ... + 22599.

It is an arithmetic number, because the mean of its divisors is an integer number (7978230).

Almost surely, 2164128914 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164128914, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191477520).

164128914 is an abundant number, since it is smaller than the sum of its proper divisors (218826126).

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

164128914 is a wasteful number, since it uses less digits than its factorization.

164128914 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9175 (or 9172 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 164128914 is about 12811.2807322297. The cubic root of 164128914 is about 547.5137520784.

The spelling of 164128914 in words is "one hundred sixty-four million, one hundred twenty-eight thousand, nine hundred fourteen".

Divisors: 1 2 3 6 9 17 18 34 51 59 102 118 153 177 306 354 531 1003 1062 2006 3009 6018 9027 9091 18054 18182 27273 54546 81819 154547 163638 309094 463641 536369 927282 1072738 1390923 1609107 2781846 3218214 4827321 9118273 9654642 18236546 27354819 54709638 82064457 164128914