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12846768673 is a prime number
BaseRepresentation
bin10111111011011101…
…00010001000100001
31020011022110110121011
423331232202020201
5202302233044143
65522434500521
7633232506034
oct137556421041
936138413534
1012846768673
1154a27364a2
1225a6434741
13129971108b
1489c27d01b
15502c84e9d
hex2fdba2221

12846768673 has 2 divisors, whose sum is σ = 12846768674. Its totient is φ = 12846768672.

The previous prime is 12846768653. The next prime is 12846768677. The reversal of 12846768673 is 37686764821.

12846768673 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., 12058675344 + 788093329 = 109812^2 + 28073^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12846768673 is a prime.

It is not a weakly prime, because it can be changed into another prime (12846768677) 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, 6423384336 + 6423384337.

It is an arithmetic number, because the mean of its divisors is an integer number (6423384337).

Almost surely, 212846768673 is an apocalyptic number.

It is an amenable number.

12846768673 is a deficient number, since it is larger than the sum of its proper divisors (1).

12846768673 is an equidigital number, since it uses as much as digits as its factorization.

12846768673 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 16257024, while the sum is 58.

The spelling of 12846768673 in words is "twelve billion, eight hundred forty-six million, seven hundred sixty-eight thousand, six hundred seventy-three".