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12509346193 is a prime number
BaseRepresentation
bin10111010011001110…
…10111100110010001
31012021210112121222021
423221213113212101
5201104343034233
65425142411441
7621664455031
oct135147274621
935253477867
1012509346193
11533a221a43
122511430b81
13124483c9c6
148695278c1
154d3332e2d
hex2e99d7991

12509346193 has 2 divisors, whose sum is σ = 12509346194. Its totient is φ = 12509346192.

The previous prime is 12509346167. The next prime is 12509346197. The reversal of 12509346193 is 39164390521.

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., 11395989504 + 1113356689 = 106752^2 + 33367^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12509346193 is a prime.

It is not a weakly prime, because it can be changed into another prime (12509346197) 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, 6254673096 + 6254673097.

It is an arithmetic number, because the mean of its divisors is an integer number (6254673097).

Almost surely, 212509346193 is an apocalyptic number.

It is an amenable number.

12509346193 is a deficient number, since it is larger than the sum of its proper divisors (1).

12509346193 is an equidigital number, since it uses as much as digits as its factorization.

12509346193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 174960, while the sum is 43.

The spelling of 12509346193 in words is "twelve billion, five hundred nine million, three hundred forty-six thousand, one hundred ninety-three".