Search a number
-
+
13734233884 = 2274358719433
BaseRepresentation
bin11001100101001111…
…11100011100011100
31022110011101101000001
430302213330130130
5211111430441014
610150500144044
7664230030130
oct146247743434
938404341001
1013734233884
115908687218
1227b3698024
1313ab539217
149440953c0
15555b37974
hex3329fc71c

13734233884 has 48 divisors (see below), whose sum is σ = 28156601088. Its totient is φ = 5739124608.

The previous prime is 13734233873. The next prime is 13734233897. The reversal of 13734233884 is 48833243731.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 697032 + ... + 716464.

It is an arithmetic number, because the mean of its divisors is an integer number (586595856).

Almost surely, 213734233884 is an apocalyptic number.

13734233884 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13734233884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14078300544).

13734233884 is an abundant number, since it is smaller than the sum of its proper divisors (14422367204).

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

13734233884 is a wasteful number, since it uses less digits than its factorization.

13734233884 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20074 (or 20072 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 46.

The spelling of 13734233884 in words is "thirteen billion, seven hundred thirty-four million, two hundred thirty-three thousand, eight hundred eighty-four".

Divisors: 1 2 4 7 14 28 43 86 172 301 587 602 1174 1204 2348 4109 8218 16436 19433 25241 38866 50482 77732 100964 136031 176687 272062 353374 544124 706748 835619 1671238 3342476 5849333 11407171 11698666 22814342 23397332 45628684 79850197 159700394 319400788 490508353 981016706 1962033412 3433558471 6867116942 13734233884