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12642003541 is a prime number
BaseRepresentation
bin10111100011000010…
…11010101001010101
31012122001011022122101
423301201122221111
5201342323103131
65450242002101
7625165154116
oct136141325125
935561138571
1012642003541
1153a8099412
122549946331
131266178b8b
1487cdba20d
154decd8c61
hex2f185aa55

12642003541 has 2 divisors, whose sum is σ = 12642003542. Its totient is φ = 12642003540.

The previous prime is 12642003449. The next prime is 12642003551. The reversal of 12642003541 is 14530024621.

12642003541 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., 11346723441 + 1295280100 = 106521^2 + 35990^2 .

It is a cyclic number.

It is not a de Polignac number, because 12642003541 - 215 = 12641970773 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12642003551) 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, 6321001770 + 6321001771.

It is an arithmetic number, because the mean of its divisors is an integer number (6321001771).

Almost surely, 212642003541 is an apocalyptic number.

It is an amenable number.

12642003541 is a deficient number, since it is larger than the sum of its proper divisors (1).

12642003541 is an equidigital number, since it uses as much as digits as its factorization.

12642003541 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5760, while the sum is 28.

The spelling of 12642003541 in words is "twelve billion, six hundred forty-two million, three thousand, five hundred forty-one".