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12879397417 is a prime number
BaseRepresentation
bin10111111111010110…
…00000001000101001
31020020120212011211011
423333223000020221
5202334111204132
65530002103521
7634110033415
oct137753001051
936216764734
1012879397417
11550a0a19a7
1225b534aba1
1312a33c6723
148a2733d45
15505a7cb47
hex2ffac0229

12879397417 has 2 divisors, whose sum is σ = 12879397418. Its totient is φ = 12879397416.

The previous prime is 12879397411. The next prime is 12879397457. The reversal of 12879397417 is 71479397821.

It is a happy number.

12879397417 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., 12366329616 + 513067801 = 111204^2 + 22651^2 .

It is a cyclic number.

It is not a de Polignac number, because 12879397417 - 23 = 12879397409 is a prime.

It is not a weakly prime, because it can be changed into another prime (12879397411) 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, 6439698708 + 6439698709.

It is an arithmetic number, because the mean of its divisors is an integer number (6439698709).

Almost surely, 212879397417 is an apocalyptic number.

It is an amenable number.

12879397417 is a deficient number, since it is larger than the sum of its proper divisors (1).

12879397417 is an equidigital number, since it uses as much as digits as its factorization.

12879397417 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 5334336, while the sum is 58.

The spelling of 12879397417 in words is "twelve billion, eight hundred seventy-nine million, three hundred ninety-seven thousand, four hundred seventeen".