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164044881 = 3271113131139
BaseRepresentation
bin10011100011100…
…10000001010001
3102102200100021100
421301302001101
5313443414011
624140015013
74031233650
oct1161620121
9372610240
10164044881
1184665390
1246b31469
1327ca88a0
1417b03197
15e605d56
hex9c72051

164044881 has 96 divisors (see below), whose sum is σ = 322882560. Its totient is φ = 77500800.

The previous prime is 164044873. The next prime is 164044897. The reversal of 164044881 is 188440461.

164044881 is a `hidden beast` number, since 1 + 640 + 4 + 4 + 8 + 8 + 1 = 666.

It is not a de Polignac number, because 164044881 - 23 = 164044873 is a prime.

It is a super-2 number, since 2×1640448812 = 53821445964608322, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (164044981) 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 95 ways as a sum of consecutive naturals, for example, 1180110 + ... + 1180248.

It is an arithmetic number, because the mean of its divisors is an integer number (3363360).

Almost surely, 2164044881 is an apocalyptic number.

164044881 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

164044881 is a deficient number, since it is larger than the sum of its proper divisors (158837679).

164044881 is a wasteful number, since it uses less digits than its factorization.

164044881 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 164044881 is about 12808.0006636477. Note that the first 3 decimals coincide. The cubic root of 164044881 is about 547.4202948961.

The spelling of 164044881 in words is "one hundred sixty-four million, forty-four thousand, eight hundred eighty-one".

Divisors: 1 3 7 9 11 13 21 33 39 63 77 91 99 117 131 139 143 231 273 393 417 429 693 819 917 973 1001 1179 1251 1287 1441 1529 1703 1807 2751 2919 3003 4323 4587 5109 5421 8253 8757 9009 10087 10703 11921 12649 12969 13761 15327 16263 18209 18733 19877 30261 32109 35763 37947 54627 56199 59631 90783 96327 107289 113841 127463 131131 139139 163881 168597 178893 200299 236717 382389 393393 417417 600897 710151 1147167 1180179 1252251 1402093 1657019 1802691 2130453 2603887 4206279 4971057 7811661 12618837 14913171 18227209 23434983 54681627 164044881