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164116590361 is a prime number
BaseRepresentation
bin1001100011011000011…
…1000110111100011001
3120200121120022121100121
42120312013012330121
510142102321342421
6203221044033241
714566651000243
oct2306607067431
9520546277317
10164116590361
116366859a459
1227982392821
13126260902c9
147d2c537093
154408092d41
hex26361c6f19

164116590361 has 2 divisors, whose sum is σ = 164116590362. Its totient is φ = 164116590360.

The previous prime is 164116590353. The next prime is 164116590371. The reversal of 164116590361 is 163095611461.

164116590361 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 134152980361 + 29963610000 = 366269^2 + 173100^2 .

It is a cyclic number.

It is not a de Polignac number, because 164116590361 - 23 = 164116590353 is a prime.

It is a super-2 number, since 2×1641165903612 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (164116590331) 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, 82058295180 + 82058295181.

It is an arithmetic number, because the mean of its divisors is an integer number (82058295181).

Almost surely, 2164116590361 is an apocalyptic number.

It is an amenable number.

164116590361 is a deficient number, since it is larger than the sum of its proper divisors (1).

164116590361 is an equidigital number, since it uses as much as digits as its factorization.

164116590361 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 116640, while the sum is 43.

The spelling of 164116590361 in words is "one hundred sixty-four billion, one hundred sixteen million, five hundred ninety thousand, three hundred sixty-one".