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12355257593 = 758710972741
BaseRepresentation
bin10111000000110111…
…00100010011111001
31011220001121010011002
423200123210103321
5200300421220333
65402000014345
7615113646110
oct134033442371
934801533132
1012355257593
115270247998
1224899013b5
13121b93bb13
14852c96c77
154c4a470e8
hex2e06e44f9

12355257593 has 16 divisors (see below), whose sum is σ = 14162408064. Its totient is φ = 10558688640.

The previous prime is 12355257581. The next prime is 12355257617. The reversal of 12355257593 is 39575255321.

12355257593 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 12355257593 - 26 = 12355257529 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12355257293) 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 in 15 ways as a sum of consecutive naturals, for example, 4506203 + ... + 4508943.

It is an arithmetic number, because the mean of its divisors is an integer number (885150504).

Almost surely, 212355257593 is an apocalyptic number.

It is an amenable number.

12355257593 is a deficient number, since it is larger than the sum of its proper divisors (1807150471).

12355257593 is a wasteful number, since it uses less digits than its factorization.

12355257593 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4432.

The product of its digits is 1417500, while the sum is 47.

The spelling of 12355257593 in words is "twelve billion, three hundred fifty-five million, two hundred fifty-seven thousand, five hundred ninety-three".

Divisors: 1 7 587 1097 2741 4109 7679 19187 643939 1608967 3006877 4507573 11262769 21048139 1765036799 12355257593