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13234500426 = 2371922337951
BaseRepresentation
bin11000101001101011…
…00111001101001010
31021011100001021120110
430110311213031022
5204101013003201
610025125135150
7645651253230
oct142465471512
937140037513
1013234500426
115681592064
12269425a4b6
13132bb48554
148d796c950
15526d236d6
hex314d6734a

13234500426 has 96 divisors (see below), whose sum is σ = 33315176448. Its totient is φ = 3426429600.

The previous prime is 13234500421. The next prime is 13234500443. The reversal of 13234500426 is 62400543231.

13234500426 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 13234500393 and 13234500402.

It is not an unprimeable number, because it can be changed into a prime (13234500421) 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 47 ways as a sum of consecutive naturals, for example, 329751 + ... + 367701.

It is an arithmetic number, because the mean of its divisors is an integer number (347033088).

Almost surely, 213234500426 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13234500426, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16657588224).

13234500426 is an abundant number, since it is smaller than the sum of its proper divisors (20080676022).

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

13234500426 is a wasteful number, since it uses less digits than its factorization.

13234500426 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38024 (or 38005 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The spelling of 13234500426 in words is "thirteen billion, two hundred thirty-four million, five hundred thousand, four hundred twenty-six".

Divisors: 1 2 3 6 7 14 19 21 23 38 42 46 57 69 114 133 138 161 266 322 361 399 437 483 722 798 874 966 1083 1311 2166 2527 2622 3059 5054 6118 7581 8303 9177 15162 16606 18354 24909 37951 49818 58121 75902 113853 116242 174363 227706 265657 348726 531314 721069 796971 872873 1442138 1593942 1745746 2163207 2618619 4326414 5047483 5237238 6110111 10094966 12220222 13700311 15142449 16584587 18330333 27400622 30284898 33169174 36660666 41100933 49753761 82201866 95902177 99507522 116092109 191804354 232184218 287706531 315107153 348276327 575413062 630214306 696552654 945321459 1890642918 2205750071 4411500142 6617250213 13234500426