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12432411106657 is a prime number
BaseRepresentation
bin1011010011101010010101…
…1100101001110101100001
31122000112020002212021200221
42310322211130221311201
53112143034220403112
642235212032443041
72422132510534603
oct264724534516541
948015202767627
1012432411106657
113a63612a59363
1214895993a9481
136c24a9a9a139
1430da364db173
151685dee5ee07
hexb4ea5729d61

12432411106657 has 2 divisors, whose sum is σ = 12432411106658. Its totient is φ = 12432411106656.

The previous prime is 12432411106589. The next prime is 12432411106679. The reversal of 12432411106657 is 75660111423421.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10641942315601 + 1790468791056 = 3262199^2 + 1338084^2 .

It is a cyclic number.

It is not a de Polignac number, because 12432411106657 - 227 = 12432276888929 is a prime.

It is not a weakly prime, because it can be changed into another prime (12432411106057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6216205553328 + 6216205553329.

It is an arithmetic number, because the mean of its divisors is an integer number (6216205553329).

Almost surely, 212432411106657 is an apocalyptic number.

It is an amenable number.

12432411106657 is a deficient number, since it is larger than the sum of its proper divisors (1).

12432411106657 is an equidigital number, since it uses as much as digits as its factorization.

12432411106657 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 241920, while the sum is 43.

The spelling of 12432411106657 in words is "twelve trillion, four hundred thirty-two billion, four hundred eleven million, one hundred six thousand, six hundred fifty-seven".