Search a number
-
+
13263766736249 is a prime number
BaseRepresentation
bin1100000100000011011000…
…0110101100110101111001
31201222000002201011001021002
43001000312012230311321
53214303143241024444
644113142413054345
72536163335021421
oct301006606546571
951860081131232
1013263766736249
11425414a59a717
1215a27347873b5
137529c9c23493
1433bd80d4d481
1518004ada8d4e
hexc10361acd79

13263766736249 has 2 divisors, whose sum is σ = 13263766736250. Its totient is φ = 13263766736248.

The previous prime is 13263766736219. The next prime is 13263766736287. The reversal of 13263766736249 is 94263766736231.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7557248412025 + 5706518324224 = 2749045^2 + 2388832^2 .

It is an emirp because it is prime and its reverse (94263766736231) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13263766736249 is a prime.

It is not a weakly prime, because it can be changed into another prime (13263766736219) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6631883368124 + 6631883368125.

It is an arithmetic number, because the mean of its divisors is an integer number (6631883368125).

Almost surely, 213263766736249 is an apocalyptic number.

It is an amenable number.

13263766736249 is a deficient number, since it is larger than the sum of its proper divisors (1).

13263766736249 is an equidigital number, since it uses as much as digits as its factorization.

13263766736249 is an evil number, because the sum of its binary digits is even.

The product of its digits is 246903552, while the sum is 65.

The spelling of 13263766736249 in words is "thirteen trillion, two hundred sixty-three billion, seven hundred sixty-six million, seven hundred thirty-six thousand, two hundred forty-nine".