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13437026252249 is a prime number
BaseRepresentation
bin1100001110001000110100…
…1011010011010111011001
31202120120022110111101202012
43003202031023103113121
53230123012210032444
644324515025515305
72554536015426605
oct303421513232731
952516273441665
1013437026252249
11431067a020466
121610228aa2b35
1376614c256952
143464d9864505
151847db95bb9e
hexc388d2d35d9

13437026252249 has 2 divisors, whose sum is σ = 13437026252250. Its totient is φ = 13437026252248.

The previous prime is 13437026252159. The next prime is 13437026252263. The reversal of 13437026252249 is 94225262073431.

13437026252249 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 13301104996624 + 135921255625 = 3647068^2 + 368675^2 .

It is a cyclic number.

It is not a de Polignac number, because 13437026252249 - 236 = 13368306775513 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13437026252197 and 13437026252206.

It is not a weakly prime, because it can be changed into another prime (13437026252449) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6718513126124 + 6718513126125.

It is an arithmetic number, because the mean of its divisors is an integer number (6718513126125).

Almost surely, 213437026252249 is an apocalyptic number.

It is an amenable number.

13437026252249 is a deficient number, since it is larger than the sum of its proper divisors (1).

13437026252249 is an equidigital number, since it uses as much as digits as its factorization.

13437026252249 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4354560, while the sum is 50.

The spelling of 13437026252249 in words is "thirteen trillion, four hundred thirty-seven billion, twenty-six million, two hundred fifty-two thousand, two hundred forty-nine".