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13553638349 is a prime number
BaseRepresentation
bin11001001111101110…
…00001101111001101
31021222120120011111112
430213313001233031
5210224212411344
610120525301405
7656605011416
oct144767015715
937876504445
1013553638349
115825748109
122763104865
13137ccb7264
149280c480d
15544d62c9e
hex327dc1bcd

13553638349 has 2 divisors, whose sum is σ = 13553638350. Its totient is φ = 13553638348.

The previous prime is 13553638261. The next prime is 13553638361. The reversal of 13553638349 is 94383635531.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 13117120900 + 436517449 = 114530^2 + 20893^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13553638349 is a prime.

It is a super-2 number, since 2×135536383492 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13553638297 and 13553638306.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13553638849) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6776819174 + 6776819175.

It is an arithmetic number, because the mean of its divisors is an integer number (6776819175).

Almost surely, 213553638349 is an apocalyptic number.

It is an amenable number.

13553638349 is a deficient number, since it is larger than the sum of its proper divisors (1).

13553638349 is an equidigital number, since it uses as much as digits as its factorization.

13553638349 is an evil number, because the sum of its binary digits is even.

The product of its digits is 3499200, while the sum is 50.

The spelling of 13553638349 in words is "thirteen billion, five hundred fifty-three million, six hundred thirty-eight thousand, three hundred forty-nine".