Search a number
-
+
918370389281 is a prime number
BaseRepresentation
bin11010101110100110010…
…01000000110100100001
310020210110210220112211112
431113103021000310201
5110021310304424111
61541521000353105
7123231034336532
oct15272311006441
93223423815745
10918370389281
1132452a1631a4
12129ba0475795
13687a9661237
14326410aa689
1518d50199e8b
hexd5d3240d21

918370389281 has 2 divisors, whose sum is σ = 918370389282. Its totient is φ = 918370389280.

The previous prime is 918370389133. The next prime is 918370389301. The reversal of 918370389281 is 182983073819.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 849422132881 + 68948256400 = 921641^2 + 262580^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-918370389281 is a prime.

It is a super-2 number, since 2×9183703892812 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 918370389281.

It is not a weakly prime, because it can be changed into another prime (918370385281) 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, 459185194640 + 459185194641.

It is an arithmetic number, because the mean of its divisors is an integer number (459185194641).

Almost surely, 2918370389281 is an apocalyptic number.

It is an amenable number.

918370389281 is a deficient number, since it is larger than the sum of its proper divisors (1).

918370389281 is an equidigital number, since it uses as much as digits as its factorization.

918370389281 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5225472, while the sum is 59.

The spelling of 918370389281 in words is "nine hundred eighteen billion, three hundred seventy million, three hundred eighty-nine thousand, two hundred eighty-one".