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12641461961 is a prime number
BaseRepresentation
bin10111100010111110…
…10110011011001001
31012122000010210201212
423301133112123021
5201342203240321
65450222222505
7625160440142
oct136137263311
935560123655
1012641461961
1153a7859527
122549724a35
13126601950b
1487ccb8ac9
154dec2d55b
hex2f17d66c9

12641461961 has 2 divisors, whose sum is σ = 12641461962. Its totient is φ = 12641461960.

The previous prime is 12641461939. The next prime is 12641461969. The reversal of 12641461961 is 16916414621.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12217101961 + 424360000 = 110531^2 + 20600^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12641461961 is a prime.

It is a super-2 number, since 2×126414619612 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (12641461969) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6320730980 + 6320730981.

It is an arithmetic number, because the mean of its divisors is an integer number (6320730981).

Almost surely, 212641461961 is an apocalyptic number.

It is an amenable number.

12641461961 is a deficient number, since it is larger than the sum of its proper divisors (1).

12641461961 is an equidigital number, since it uses as much as digits as its factorization.

12641461961 is an evil number, because the sum of its binary digits is even.

The product of its digits is 62208, while the sum is 41.

The spelling of 12641461961 in words is "twelve billion, six hundred forty-one million, four hundred sixty-one thousand, nine hundred sixty-one".