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12735848353 is a prime number
BaseRepresentation
bin10111101110001110…
…11001111110100001
31012212120202010112011
423313013121332201
5202040334121403
65503433232521
7630414632134
oct136707317641
935776663464
1012735848353
115446066408
122575262741
13127c745b57
1488b64821b
154e8174a6d
hex2f71d9fa1

12735848353 has 2 divisors, whose sum is σ = 12735848354. Its totient is φ = 12735848352.

The previous prime is 12735848341. The next prime is 12735848387. The reversal of 12735848353 is 35384853721.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11997259024 + 738589329 = 109532^2 + 27177^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12735848353 is a prime.

It is a super-3 number, since 3×127358483533 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 12735848297 and 12735848306.

It is not a weakly prime, because it can be changed into another prime (12735848753) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6367924176 + 6367924177.

It is an arithmetic number, because the mean of its divisors is an integer number (6367924177).

Almost surely, 212735848353 is an apocalyptic number.

It is an amenable number.

12735848353 is a deficient number, since it is larger than the sum of its proper divisors (1).

12735848353 is an equidigital number, since it uses as much as digits as its factorization.

12735848353 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2419200, while the sum is 49.

The spelling of 12735848353 in words is "twelve billion, seven hundred thirty-five million, eight hundred forty-eight thousand, three hundred fifty-three".