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12641885401 is a prime number
BaseRepresentation
bin10111100011000001…
…11101110011011001
31012122000221022120211
423301200331303121
5201342310313101
65450235251121
7625164152515
oct136140756331
935560838524
1012641885401
1153a8018682
1225498a9aa1
131266137182
1487cd89145
154decb3c51
hex2f183dcd9

12641885401 has 2 divisors, whose sum is σ = 12641885402. Its totient is φ = 12641885400.

The previous prime is 12641885357. The next prime is 12641885411. The reversal of 12641885401 is 10458814621.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7632643225 + 5009242176 = 87365^2 + 70776^2 .

It is a cyclic number.

It is not a de Polignac number, because 12641885401 - 215 = 12641852633 is a prime.

It is not a weakly prime, because it can be changed into another prime (12641885411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6320942700 + 6320942701.

It is an arithmetic number, because the mean of its divisors is an integer number (6320942701).

Almost surely, 212641885401 is an apocalyptic number.

It is an amenable number.

12641885401 is a deficient number, since it is larger than the sum of its proper divisors (1).

12641885401 is an equidigital number, since it uses as much as digits as its factorization.

12641885401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 61440, while the sum is 40.

The spelling of 12641885401 in words is "twelve billion, six hundred forty-one million, eight hundred eighty-five thousand, four hundred one".