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13835368459 = 112961711001
BaseRepresentation
bin11001110001010011…
…01111100000001011
31022201012200112120001
430320221233200023
5211313323242314
610204511543431
7666565456123
oct147051574013
938635615501
1013835368459
11595a783110
12282152ab77
1313c6489273
1495369dc83
1555e963674
hex338a6f80b

13835368459 has 16 divisors (see below), whose sum is σ = 15869564640. Its totient is φ = 11944800000.

The previous prime is 13835368429. The next prime is 13835368487. The reversal of 13835368459 is 95486353831.

13835368459 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 13835368459 - 27 = 13835368331 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13835368409) 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, 336042 + ... + 374959.

It is an arithmetic number, because the mean of its divisors is an integer number (991847790).

Almost surely, 213835368459 is an apocalyptic number.

13835368459 is a deficient number, since it is larger than the sum of its proper divisors (2034196181).

13835368459 is a wasteful number, since it uses less digits than its factorization.

13835368459 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 711102.

The product of its digits is 9331200, while the sum is 55.

The spelling of 13835368459 in words is "thirteen billion, eight hundred thirty-five million, three hundred sixty-eight thousand, four hundred fifty-nine".

Divisors: 1 11 29 61 319 671 1769 19459 711001 7821011 20619029 43371061 226809319 477081671 1257760769 13835368459