Search a number
-
+
135677411155469 is a prime number
BaseRepresentation
bin11110110110010111011011…
…111001010101111000001101
3122210101122010001201121121102
4132312113123321111320031
5120240414314223433334
61200321201530312445
740402240505243561
oct3666273371257015
9583348101647542
10135677411155469
113a25a515549127
1213273236588725
135a9242bc73291
142570b70bc76a1
1510a4432bcb67e
hex7b65dbe55e0d

135677411155469 has 2 divisors, whose sum is σ = 135677411155470. Its totient is φ = 135677411155468.

The previous prime is 135677411155459. The next prime is 135677411155471. The reversal of 135677411155469 is 964551114776531.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 85439297382244 + 50238113773225 = 9243338^2 + 7087885^2 .

It is an emirp because it is prime and its reverse (964551114776531) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 135677411155469 - 216 = 135677411089933 is a prime.

It is a super-2 number, since 2×1356774111554692 (a number of 29 digits) contains 22 as substring.

Together with 135677411155471, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (135677411155459) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 67838705577734 + 67838705577735.

It is an arithmetic number, because the mean of its divisors is an integer number (67838705577735).

Almost surely, 2135677411155469 is an apocalyptic number.

It is an amenable number.

135677411155469 is a deficient number, since it is larger than the sum of its proper divisors (1).

135677411155469 is an equidigital number, since it uses as much as digits as its factorization.

135677411155469 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 95256000, while the sum is 65.

The spelling of 135677411155469 in words is "one hundred thirty-five trillion, six hundred seventy-seven billion, four hundred eleven million, one hundred fifty-five thousand, four hundred sixty-nine".