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164116590433 is a prime number
BaseRepresentation
bin1001100011011000011…
…1000110111101100001
3120200121120022121110021
42120312013012331201
510142102321343213
6203221044033441
714566651000405
oct2306607067541
9520546277407
10164116590433
116366859a514
1227982392881
1312626090353
147d2c537105
154408092d8d
hex26361c6f61

164116590433 has 2 divisors, whose sum is σ = 164116590434. Its totient is φ = 164116590432.

The previous prime is 164116590389. The next prime is 164116590439. The reversal of 164116590433 is 334095611461.

164116590433 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., 156493030464 + 7623559969 = 395592^2 + 87313^2 .

It is a cyclic number.

It is not a de Polignac number, because 164116590433 - 213 = 164116582241 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 164116590433.

It is not a weakly prime, because it can be changed into another prime (164116590439) 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, 82058295216 + 82058295217.

It is an arithmetic number, because the mean of its divisors is an integer number (82058295217).

Almost surely, 2164116590433 is an apocalyptic number.

It is an amenable number.

164116590433 is a deficient number, since it is larger than the sum of its proper divisors (1).

164116590433 is an equidigital number, since it uses as much as digits as its factorization.

164116590433 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 233280, while the sum is 43.

The spelling of 164116590433 in words is "one hundred sixty-four billion, one hundred sixteen million, five hundred ninety thousand, four hundred thirty-three".