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164168047 is a prime number
BaseRepresentation
bin10011100100100…
…00000101101111
3102102220121020001
421302100011233
5314011334142
624142405131
74032256021
oct1162200557
9372817201
10164168047
118473997a
1246b907a7
132801c974
1417b36011
15e62c5b7
hex9c9016f

164168047 has 2 divisors, whose sum is σ = 164168048. Its totient is φ = 164168046.

The previous prime is 164168041. The next prime is 164168057. The reversal of 164168047 is 740861461.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 164168047 - 27 = 164167919 is a prime.

It is a super-2 number, since 2×1641680472 = 53902295311588418, which contains 22 as substring.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 164167997 and 164168015.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (164168041) 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 as a sum of consecutive naturals, namely, 82084023 + 82084024.

It is an arithmetic number, because the mean of its divisors is an integer number (82084024).

Almost surely, 2164168047 is an apocalyptic number.

164168047 is a deficient number, since it is larger than the sum of its proper divisors (1).

164168047 is an equidigital number, since it uses as much as digits as its factorization.

164168047 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32256, while the sum is 37.

The square root of 164168047 is about 12812.8079280070. The cubic root of 164168047 is about 547.5572629028.

The spelling of 164168047 in words is "one hundred sixty-four million, one hundred sixty-eight thousand, forty-seven".