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12368845845 = 3255922812
BaseRepresentation
bin10111000010011110…
…11001110000010101
31011221000011110201200
423201033121300111
5200312411031340
65403203143113
7615340312026
oct134117316025
934830143650
1012368845845
115277988a54
122492374a99
1312216b89c5
148549d2c4d
154c5d2d330
hex2e13d9c15

12368845845 has 54 divisors (see below), whose sum is σ = 21886758114. Its totient is φ = 6461831040.

The previous prime is 12368845823. The next prime is 12368845871. The reversal of 12368845845 is 54854886321.

12368845845 is a `hidden beast` number, since 123 + 68 + 8 + 458 + 4 + 5 = 666.

12368845845 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 2857330116 + 9511515729 = 53454^2 + 97527^2 .

It is not a de Polignac number, because 12368845845 - 26 = 12368845781 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12368845791 and 12368845800.

It is a congruent number.

It is an unprimeable number.

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 in 53 ways as a sum of consecutive naturals, for example, 44017105 + ... + 44017385.

Almost surely, 212368845845 is an apocalyptic number.

12368845845 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12368845845 is a deficient number, since it is larger than the sum of its proper divisors (9517912269).

12368845845 is an frugal number, since it uses more digits than its factorization.

12368845845 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 691 (or 348 counting only the distinct ones).

The product of its digits is 7372800, while the sum is 54.

The spelling of 12368845845 in words is "twelve billion, three hundred sixty-eight million, eight hundred forty-five thousand, eight hundred forty-five".

Divisors: 1 3 5 9 15 45 59 177 281 295 531 843 885 1405 2529 2655 3481 4215 10443 12645 16579 17405 31329 49737 52215 78961 82895 149211 156645 236883 248685 394805 710649 746055 978161 1184415 2934483 3553245 4658699 4890805 8803449 13976097 14672415 23293495 41928291 44017245 69880485 209641455 274863241 824589723 1374316205 2473769169 4122948615 12368845845