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12546839413697 is a prime number
BaseRepresentation
bin1011011010010100100111…
…1010000000001111000001
31122102110120210220120022212
42312211021322000033001
53121031411342214242
642403534412311505
72433323243231321
oct266451172001701
948373523816285
1012546839413697
113aa80a2832056
1214a77b3172595
1370021485b564
143153ad887281
1516b58abd3782
hexb6949e803c1

12546839413697 has 2 divisors, whose sum is σ = 12546839413698. Its totient is φ = 12546839413696.

The previous prime is 12546839413583. The next prime is 12546839413721. The reversal of 12546839413697 is 79631493864521.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11878507003441 + 668332410256 = 3446521^2 + 817516^2 .

It is a cyclic number.

It is not a de Polignac number, because 12546839413697 - 28 = 12546839413441 is a prime.

It is a super-2 number, since 2×125468394136972 (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (12546839410697) 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, 6273419706848 + 6273419706849.

It is an arithmetic number, because the mean of its divisors is an integer number (6273419706849).

Almost surely, 212546839413697 is an apocalyptic number.

It is an amenable number.

12546839413697 is a deficient number, since it is larger than the sum of its proper divisors (1).

12546839413697 is an equidigital number, since it uses as much as digits as its factorization.

12546839413697 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 235146240, while the sum is 68.

The spelling of 12546839413697 in words is "twelve trillion, five hundred forty-six billion, eight hundred thirty-nine million, four hundred thirteen thousand, six hundred ninety-seven".