Search a number
-
+
13221811668 = 22313244314717
BaseRepresentation
bin11000101000001010…
…01101010111010100
31021010110011121212110
430110011031113110
5204034240433133
610023553151020
7645435354612
oct142405152724
937113147773
1013221811668
11567540588a
12268bb5b470
131329324c00
148d5dc86b2
15525b68c63
hex31414d5d4

13221811668 has 72 divisors (see below), whose sum is σ = 33484274208. Its totient is φ = 4058790528.

The previous prime is 13221811663. The next prime is 13221811697. The reversal of 13221811668 is 86611812231.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13221811663) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 891046 + ... + 905762.

It is an arithmetic number, because the mean of its divisors is an integer number (465059364).

Almost surely, 213221811668 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13221811668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16742137104).

13221811668 is an abundant number, since it is smaller than the sum of its proper divisors (20262462540).

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

13221811668 is a wasteful number, since it uses less digits than its factorization.

13221811668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15193 (or 15178 counting only the distinct ones).

The product of its digits is 27648, while the sum is 39.

The spelling of 13221811668 in words is "thirteen billion, two hundred twenty-one million, eight hundred eleven thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 169 338 443 507 676 886 1014 1329 1772 2028 2658 5316 5759 11518 14717 17277 23036 29434 34554 44151 58868 69108 74867 88302 149734 176604 191321 224601 299468 382642 449202 573963 765284 898404 1147926 2295852 2487173 4974346 6519631 7461519 9948692 13039262 14923038 19558893 26078524 29846076 39117786 78235572 84755203 169510406 254265609 339020812 508531218 1017062436 1101817639 2203635278 3305452917 4407270556 6610905834 13221811668