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13834137089 = 373229115793
BaseRepresentation
bin11001110001001010…
…00010111000000001
31022201010100222102202
430320211002320001
5211313014341324
610204425322545
7666552140123
oct147045027001
938633328382
1013834137089
11595a011a53
122821036455
1313c6147946
1495345d213
1555e7bd8ae
hex338942e01

13834137089 has 8 divisors (see below), whose sum is σ = 14212555560. Its totient is φ = 13455956736.

The previous prime is 13834137077. The next prime is 13834137103. The reversal of 13834137089 is 98073143831.

It can be written as a sum of positive squares in 4 ways, for example, as 335182864 + 13498954225 = 18308^2 + 116185^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13834137089 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13834137029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 61577 + ... + 177369.

It is an arithmetic number, because the mean of its divisors is an integer number (1776569445).

Almost surely, 213834137089 is an apocalyptic number.

It is an amenable number.

13834137089 is a deficient number, since it is larger than the sum of its proper divisors (378418471).

13834137089 is a wasteful number, since it uses less digits than its factorization.

13834137089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119059.

The product of its (nonzero) digits is 435456, while the sum is 47.

The spelling of 13834137089 in words is "thirteen billion, eight hundred thirty-four million, one hundred thirty-seven thousand, eighty-nine".

Divisors: 1 37 3229 115793 119473 4284341 373895597 13834137089