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164133715073 is a prime number
BaseRepresentation
bin1001100011011100100…
…0011011110010000001
3120200122202112122001012
42120313020123302001
510142121212340243
6203222455050305
714600246362436
oct2306710336201
9520582478035
10164133715073
1163677226509
1227988070995
13126297a7a83
147d30913b8d
154409826d18
hex263721bc81

164133715073 has 2 divisors, whose sum is σ = 164133715074. Its totient is φ = 164133715072.

The previous prime is 164133715069. The next prime is 164133715087. The reversal of 164133715073 is 370517331461.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 101944826944 + 62188888129 = 319288^2 + 249377^2 .

It is a cyclic number.

It is not a de Polignac number, because 164133715073 - 22 = 164133715069 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 164133715073.

It is not a weakly prime, because it can be changed into another prime (164133715013) 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 as a sum of consecutive naturals, namely, 82066857536 + 82066857537.

It is an arithmetic number, because the mean of its divisors is an integer number (82066857537).

Almost surely, 2164133715073 is an apocalyptic number.

It is an amenable number.

164133715073 is a deficient number, since it is larger than the sum of its proper divisors (1).

164133715073 is an equidigital number, since it uses as much as digits as its factorization.

164133715073 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 158760, while the sum is 41.

The spelling of 164133715073 in words is "one hundred sixty-four billion, one hundred thirty-three million, seven hundred fifteen thousand, seventy-three".