Search a number
-
+
13774136977 is a prime number
BaseRepresentation
bin11001101010000000…
…01010011010010001
31022112221110122202101
430311000022122101
5211202134340402
610154443320401
7665223142516
oct146500123221
938487418671
1013774136977
115929160a87
122804b20101
1313b689a913
149494c130d
155593bab87
hex33500a691

13774136977 has 2 divisors, whose sum is σ = 13774136978. Its totient is φ = 13774136976.

The previous prime is 13774136953. The next prime is 13774137023. The reversal of 13774136977 is 77963147731.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7050792961 + 6723344016 = 83969^2 + 81996^2 .

It is a cyclic number.

It is not a de Polignac number, because 13774136977 - 231 = 11626653329 is a prime.

It is a super-2 number, since 2×137741369772 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (13774136377) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6887068488 + 6887068489.

It is an arithmetic number, because the mean of its divisors is an integer number (6887068489).

Almost surely, 213774136977 is an apocalyptic number.

It is an amenable number.

13774136977 is a deficient number, since it is larger than the sum of its proper divisors (1).

13774136977 is an equidigital number, since it uses as much as digits as its factorization.

13774136977 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4667544, while the sum is 55.

The spelling of 13774136977 in words is "thirteen billion, seven hundred seventy-four million, one hundred thirty-six thousand, nine hundred seventy-seven".