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12641420369 is a prime number
BaseRepresentation
bin10111100010111110…
…01100010001010001
31012122000001200200102
423301133030101101
5201342200422434
65450221302145
7625160204654
oct136137142121
935560050612
1012641420369
1153a7830256
122549704955
1312660035c6
1487cca789b
154dec2107e
hex2f17cc451

12641420369 has 2 divisors, whose sum is σ = 12641420370. Its totient is φ = 12641420368.

The previous prime is 12641420263. The next prime is 12641420381. The reversal of 12641420369 is 96302414621.

12641420369 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., 12279964225 + 361456144 = 110815^2 + 19012^2 .

It is a cyclic number.

It is not a de Polignac number, because 12641420369 - 228 = 12372984913 is a prime.

It is a super-3 number, since 3×126414203693 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (12641420399) 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, 6320710184 + 6320710185.

It is an arithmetic number, because the mean of its divisors is an integer number (6320710185).

Almost surely, 212641420369 is an apocalyptic number.

It is an amenable number.

12641420369 is a deficient number, since it is larger than the sum of its proper divisors (1).

12641420369 is an equidigital number, since it uses as much as digits as its factorization.

12641420369 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 62208, while the sum is 38.

The spelling of 12641420369 in words is "twelve billion, six hundred forty-one million, four hundred twenty thousand, three hundred sixty-nine".