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12623423149 is a prime number
BaseRepresentation
bin10111100000110101…
…00010011010101101
31012120202012100010201
423300122202122231
5201323044020044
65444335433501
7624551216641
oct136032423255
935522170121
1012623423149
115398658717
122543685891
13126237196c
1487a740c21
154dd3687d4
hex2f06a26ad

12623423149 has 2 divisors, whose sum is σ = 12623423150. Its totient is φ = 12623423148.

The previous prime is 12623423147. The next prime is 12623423161. The reversal of 12623423149 is 94132432621.

12623423149 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., 8314157124 + 4309266025 = 91182^2 + 65645^2 .

It is a cyclic number.

It is not a de Polignac number, because 12623423149 - 21 = 12623423147 is a prime.

It is a super-3 number, since 3×126234231493 (a number of 31 digits) contains 333 as substring.

Together with 12623423147, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12623423147) 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, 6311711574 + 6311711575.

It is an arithmetic number, because the mean of its divisors is an integer number (6311711575).

Almost surely, 212623423149 is an apocalyptic number.

It is an amenable number.

12623423149 is a deficient number, since it is larger than the sum of its proper divisors (1).

12623423149 is an equidigital number, since it uses as much as digits as its factorization.

12623423149 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 62208, while the sum is 37.

The spelling of 12623423149 in words is "twelve billion, six hundred twenty-three million, four hundred twenty-three thousand, one hundred forty-nine".