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164868029 is a prime number
BaseRepresentation
bin10011101001110…
…10111110111101
3102111020011102022
421310322332331
5314201234104
624205405525
74041232544
oct1164727675
9374204368
10164868029
1185077877
12472698a5
1328206461
1417c7915b
15e719bbe
hex9d3afbd

164868029 has 2 divisors, whose sum is σ = 164868030. Its totient is φ = 164868028.

The previous prime is 164867981. The next prime is 164868031. The reversal of 164868029 is 920868461.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 136936804 + 27931225 = 11702^2 + 5285^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-164868029 is a prime.

It is a Sophie Germain prime.

Together with 164868031, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (164868229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 82434014 + 82434015.

It is an arithmetic number, because the mean of its divisors is an integer number (82434015).

Almost surely, 2164868029 is an apocalyptic number.

It is an amenable number.

164868029 is a deficient number, since it is larger than the sum of its proper divisors (1).

164868029 is an equidigital number, since it uses as much as digits as its factorization.

164868029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 165888, while the sum is 44.

The square root of 164868029 is about 12840.0945868790. The cubic root of 164868029 is about 548.3343868651.

The spelling of 164868029 in words is "one hundred sixty-four million, eight hundred sixty-eight thousand, twenty-nine".