Search a number
-
+
13755337481 is a prime number
BaseRepresentation
bin11001100111110000…
…11100101100001001
31022111122002112200202
430303320130230021
5211132331244411
610152532341545
7664604303504
oct146370345411
938448075622
1013755337481
115919590706
1227ba7748b5
1313b2a17a62
14946bca13b
1555790583b
hex333e1cb09

13755337481 has 2 divisors, whose sum is σ = 13755337482. Its totient is φ = 13755337480.

The previous prime is 13755337469. The next prime is 13755337487. The reversal of 13755337481 is 18473355731.

13755337481 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., 13749673081 + 5664400 = 117259^2 + 2380^2 .

It is a cyclic number.

It is not a de Polignac number, because 13755337481 - 218 = 13755075337 is a prime.

It is a super-2 number, since 2×137553374812 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (13755337487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6877668740 + 6877668741.

It is an arithmetic number, because the mean of its divisors is an integer number (6877668741).

Almost surely, 213755337481 is an apocalyptic number.

It is an amenable number.

13755337481 is a deficient number, since it is larger than the sum of its proper divisors (1).

13755337481 is an equidigital number, since it uses as much as digits as its factorization.

13755337481 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1058400, while the sum is 47.

The spelling of 13755337481 in words is "thirteen billion, seven hundred fifty-five million, three hundred thirty-seven thousand, four hundred eighty-one".