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164728169 is a prime number
BaseRepresentation
bin10011101000110…
…00110101101001
3102110222001120022
421310120311221
5314132300134
624202410225
74040111024
oct1164306551
9373861508
10164728169
1184a91791
1247200975
13281878b8
1417c401bb
15e6dd52e
hex9d18d69

164728169 has 2 divisors, whose sum is σ = 164728170. Its totient is φ = 164728168.

The previous prime is 164728159. The next prime is 164728171. The reversal of 164728169 is 961827461.

164728169 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 164352400 + 375769 = 12820^2 + 613^2 .

It is a cyclic number.

It is not a de Polignac number, because 164728169 - 24 = 164728153 is a prime.

It is a super-2 number, since 2×1647281692 = 54270739324185122, which contains 22 as substring.

Together with 164728171, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (164728129) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 82364084 + 82364085.

It is an arithmetic number, because the mean of its divisors is an integer number (82364085).

Almost surely, 2164728169 is an apocalyptic number.

It is an amenable number.

164728169 is a deficient number, since it is larger than the sum of its proper divisors (1).

164728169 is an equidigital number, since it uses as much as digits as its factorization.

164728169 is an evil number, because the sum of its binary digits is even.

The product of its digits is 145152, while the sum is 44.

The square root of 164728169 is about 12834.6472097990. The cubic root of 164728169 is about 548.1792895957.

The spelling of 164728169 in words is "one hundred sixty-four million, seven hundred twenty-eight thousand, one hundred sixty-nine".