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13835834089 = 721125669451
BaseRepresentation
bin11001110001010111…
…00001001011101001
31022201020120012021121
430320223201023221
5211313433142324
610204525535241
7666602435500
oct147053411351
938636505247
1013835834089
11595aa70a30
122821714521
1313c65c019c
14953781837
1555ea065e4
hex338ae12e9

13835834089 has 12 divisors (see below), whose sum is σ = 17557905168. Its totient is φ = 10781169000.

The previous prime is 13835834087. The next prime is 13835834107. The reversal of 13835834089 is 98043853831.

13835834089 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13835834089 - 21 = 13835834087 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13835834087) 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 11 ways as a sum of consecutive naturals, for example, 12834187 + ... + 12835264.

It is an arithmetic number, because the mean of its divisors is an integer number (1463158764).

Almost surely, 213835834089 is an apocalyptic number.

It is an amenable number.

13835834089 is a deficient number, since it is larger than the sum of its proper divisors (3722071079).

13835834089 is a wasteful number, since it uses less digits than its factorization.

13835834089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25669476 (or 25669469 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 52.

The spelling of 13835834089 in words is "thirteen billion, eight hundred thirty-five million, eight hundred thirty-four thousand, eighty-nine".

Divisors: 1 7 11 49 77 539 25669451 179686157 282363961 1257803099 1976547727 13835834089