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164913813 = 342035973
BaseRepresentation
bin10011101010001…
…10001010010101
3102111022111020000
421311012022111
5314204220223
624210401513
74041513201
oct1165061225
9374274200
10164913813
11850a9209
1247290299
132822124c
1417c8bb01
15e728543
hex9d46295

164913813 has 10 divisors (see below), whose sum is σ = 246352854. Its totient is φ = 109942488.

The previous prime is 164913809. The next prime is 164913817. The reversal of 164913813 is 318319461.

164913813 is a `hidden beast` number, since 1 + 649 + 1 + 3 + 8 + 1 + 3 = 666.

It is an interprime number because it is at equal distance from previous prime (164913809) and next prime (164913817).

It can be written as a sum of positive squares in only one way, i.e., 146095569 + 18818244 = 12087^2 + 4338^2 .

It is not a de Polignac number, because 164913813 - 22 = 164913809 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164913817) 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 9 ways as a sum of consecutive naturals, for example, 1017906 + ... + 1018067.

Almost surely, 2164913813 is an apocalyptic number.

It is an amenable number.

164913813 is a deficient number, since it is larger than the sum of its proper divisors (81439041).

164913813 is an equidigital number, since it uses as much as digits as its factorization.

164913813 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2035985 (or 2035976 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 164913813 is about 12841.8773160313. The cubic root of 164913813 is about 548.3851398183.

The spelling of 164913813 in words is "one hundred sixty-four million, nine hundred thirteen thousand, eight hundred thirteen".

Divisors: 1 3 9 27 81 2035973 6107919 18323757 54971271 164913813