Search a number
-
+
918353135717 is a prime number
BaseRepresentation
bin11010101110100100001…
…11001100100001100101
310020210102121102222101122
431113102013030201211
5110021241400320332
61541515142503325
7123230434566563
oct15272207144145
93223377388348
10918353135717
11324520449356
12129b96734b45
13687a5bccc24
143263ca98a33
1518d4d8dcc12
hexd5d21cc865

918353135717 has 2 divisors, whose sum is σ = 918353135718. Its totient is φ = 918353135716.

The previous prime is 918353135663. The next prime is 918353135759. The reversal of 918353135717 is 717531353819.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 912557967841 + 5795167876 = 955279^2 + 76126^2 .

It is a cyclic number.

It is not a de Polignac number, because 918353135717 - 26 = 918353135653 is a prime.

It is a super-2 number, since 2×9183531357172 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (918353132717) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 459176567858 + 459176567859.

It is an arithmetic number, because the mean of its divisors is an integer number (459176567859).

Almost surely, 2918353135717 is an apocalyptic number.

It is an amenable number.

918353135717 is a deficient number, since it is larger than the sum of its proper divisors (1).

918353135717 is an equidigital number, since it uses as much as digits as its factorization.

918353135717 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2381400, while the sum is 53.

The spelling of 918353135717 in words is "nine hundred eighteen billion, three hundred fifty-three million, one hundred thirty-five thousand, seven hundred seventeen".