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12306068775 = 3452711132467
BaseRepresentation
bin10110111010111111…
…11011010100100111
31011202122001001210000
423131133323110213
5200200323200100
65353041432343
7613645600350
oct133537732447
934678031700
1012306068775
115245500680
12247533b6b3
1312116a8a00
1484a530d27
154c057c900
hex2dd7fb527

12306068775 has 360 divisors, whose sum is σ = 30840061824. Its totient is φ = 4710700800.

The previous prime is 12306068773. The next prime is 12306068777. The reversal of 12306068775 is 57786060321.

12306068775 is a `hidden beast` number, since 1 + 2 + 30 + 606 + 8 + 7 + 7 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (12306068773) and next prime (12306068777).

It is not a de Polignac number, because 12306068775 - 21 = 12306068773 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 12306068775.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12306068773) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 26351092 + ... + 26351558.

Almost surely, 212306068775 is an apocalyptic number.

12306068775 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

12306068775 is an abundant number, since it is smaller than the sum of its proper divisors (18533993049).

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

12306068775 is a wasteful number, since it uses less digits than its factorization.

12306068775 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 12306068775 in words is "twelve billion, three hundred six million, sixty-eight thousand, seven hundred seventy-five".