Search a number
-
+
164965869 = 333724463
BaseRepresentation
bin10011101010100…
…10110111101101
3102111102010122000
421311102313231
5314212401434
624211442513
74042121025
oct1165226755
9374363560
10164965869
1185134332
12472b6439
132823bb53
1417ca2a85
15e738b99
hex9d52ded

164965869 has 24 divisors (see below), whose sum is σ = 251233920. Its totient is φ = 106980912.

The previous prime is 164965819. The next prime is 164965877. The reversal of 164965869 is 968569461.

It is a happy number.

164965869 is a `hidden beast` number, since 16 + 49 + 6 + 586 + 9 = 666.

It is not a de Polignac number, because 164965869 - 27 = 164965741 is a prime.

It is a super-2 number, since 2×1649658692 = 54427475869850322, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164965819) by changing a digit.

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, 34732 + ... + 39194.

It is an arithmetic number, because the mean of its divisors is an integer number (10468080).

Almost surely, 2164965869 is an apocalyptic number.

It is an amenable number.

164965869 is a deficient number, since it is larger than the sum of its proper divisors (86268051).

164965869 is an equidigital number, since it uses as much as digits as its factorization.

164965869 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4546 (or 4503 counting only the distinct ones).

The product of its digits is 2799360, while the sum is 54.

The square root of 164965869 is about 12843.9039625808. The cubic root of 164965869 is about 548.4428340631.

The spelling of 164965869 in words is "one hundred sixty-four million, nine hundred sixty-five thousand, eight hundred sixty-nine".

Divisors: 1 3 9 27 37 111 333 999 1369 4107 4463 12321 13389 36963 40167 120501 165131 495393 1486179 4458537 6109847 18329541 54988623 164965869