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12418965073 is a prime number
BaseRepresentation
bin10111001000011101…
…00101111001010001
31012001111110210101101
423210032211321101
5200413223340243
65412153304401
7616516314154
oct134416457121
935044423341
1012418965073
1152a32002a9
1224a7105101
13122bbb6458
1485b51bc9b
154ca42d54d
hex2e43a5e51

12418965073 has 2 divisors, whose sum is σ = 12418965074. Its totient is φ = 12418965072.

The previous prime is 12418965061. The next prime is 12418965089. The reversal of 12418965073 is 37056981421.

12418965073 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., 8003628369 + 4415336704 = 89463^2 + 66448^2 .

It is a cyclic number.

It is not a de Polignac number, because 12418965073 - 225 = 12385410641 is a prime.

It is not a weakly prime, because it can be changed into another prime (12418965773) 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, 6209482536 + 6209482537.

It is an arithmetic number, because the mean of its divisors is an integer number (6209482537).

It is a 1-persistent number, because it is pandigital, but 2⋅12418965073 = 24837930146 is not.

Almost surely, 212418965073 is an apocalyptic number.

It is an amenable number.

12418965073 is a deficient number, since it is larger than the sum of its proper divisors (1).

12418965073 is an equidigital number, since it uses as much as digits as its factorization.

12418965073 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 362880, while the sum is 46.

The spelling of 12418965073 in words is "twelve billion, four hundred eighteen million, nine hundred sixty-five thousand, seventy-three".