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12835826509141 is a prime number
BaseRepresentation
bin1011101011001001001011…
…1000010010010101010101
31200110002111211010002010001
42322302102320102111111
53140300233041243031
643144410340531301
72463233514063346
oct272622270222525
950402454102101
1012835826509141
1140a9709487139
1215338043b0b31
1372154ab94b9c
1432538611a0cd
15173d51604861
hexbac92e12555

12835826509141 has 2 divisors, whose sum is σ = 12835826509142. Its totient is φ = 12835826509140.

The previous prime is 12835826509091. The next prime is 12835826509157. The reversal of 12835826509141 is 14190562853821.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11242917478116 + 1592909031025 = 3353046^2 + 1262105^2 .

It is a cyclic number.

It is not a de Polignac number, because 12835826509141 - 211 = 12835826507093 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12835826506141) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6417913254570 + 6417913254571.

It is an arithmetic number, because the mean of its divisors is an integer number (6417913254571).

Almost surely, 212835826509141 is an apocalyptic number.

It is an amenable number.

12835826509141 is a deficient number, since it is larger than the sum of its proper divisors (1).

12835826509141 is an equidigital number, since it uses as much as digits as its factorization.

12835826509141 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4147200, while the sum is 55.

The spelling of 12835826509141 in words is "twelve trillion, eight hundred thirty-five billion, eight hundred twenty-six million, five hundred nine thousand, one hundred forty-one".