Search a number
-
+
992386392337 is a prime number
BaseRepresentation
bin11100111000011101101…
…01101010000100010001
310111212112010002002020001
432130032311222010101
5112224401404023322
62035521312250001
7131461155104104
oct16341665520421
93455463062201
10992386392337
1135296127985a
121403b8240901
1372773b11352
143606320073b
151ac33142827
hexe70ed6a111

992386392337 has 2 divisors, whose sum is σ = 992386392338. Its totient is φ = 992386392336.

The previous prime is 992386392289. The next prime is 992386392341. The reversal of 992386392337 is 733293683299.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 913087269136 + 79299123201 = 955556^2 + 281601^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-992386392337 is a prime.

It is a super-3 number, since 3×9923863923373 (a number of 37 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (992386392377) 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, 496193196168 + 496193196169.

It is an arithmetic number, because the mean of its divisors is an integer number (496193196169).

Almost surely, 2992386392337 is an apocalyptic number.

It is an amenable number.

992386392337 is a deficient number, since it is larger than the sum of its proper divisors (1).

992386392337 is an equidigital number, since it uses as much as digits as its factorization.

992386392337 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 79361856, while the sum is 64.

The spelling of 992386392337 in words is "nine hundred ninety-two billion, three hundred eighty-six million, three hundred ninety-two thousand, three hundred thirty-seven".