Search a number
-
+
12306393743756 = 2272673716438421
BaseRepresentation
bin1011001100010100111000…
…1110100100000110001100
31121120110221201221222002212
42303011032032210012030
53103111443244300011
642101251303205552
72410051623610250
oct263051616440614
947513851858085
1012306393743756
113a15126494452
12146908a4468b8
136b3646048008
143078bdd46260
151651b6a9208b
hexb314e3a418c

12306393743756 has 24 divisors (see below), whose sum is σ = 24613709536416. Its totient is φ = 5273971165440.

The previous prime is 12306393743717. The next prime is 12306393743759. The reversal of 12306393743756 is 65734739360321.

It is a junction number, because it is equal to n+sod(n) for n = 12306393743695 and 12306393743704.

It is not an unprimeable number, because it can be changed into a prime (12306393743759) 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 in 7 ways as a sum of consecutive naturals, for example, 7470575 + ... + 8967846.

It is an arithmetic number, because the mean of its divisors is an integer number (1025571230684).

Almost surely, 212306393743756 is an apocalyptic number.

It is an amenable number.

12306393743756 is an abundant number, since it is smaller than the sum of its proper divisors (12307315792660).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12306393743756 is a wasteful number, since it uses less digits than its factorization.

12306393743756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16465169 (or 16465167 counting only the distinct ones).

The product of its (nonzero) digits is 51438240, while the sum is 59.

The spelling of 12306393743756 in words is "twelve trillion, three hundred six billion, three hundred ninety-three million, seven hundred forty-three thousand, seven hundred fifty-six".

Divisors: 1 2 4 7 14 28 26737 53474 106948 187159 374318 748636 16438421 32876842 65753684 115068947 230137894 460275788 439514062277 879028124554 1758056249108 3076598435939 6153196871878 12306393743756