Search a number
-
+
13484154112 = 2811131747461
BaseRepresentation
bin11001000111011011…
…11101110100000000
31021210201211000001021
430203231331310000
5210103420412422
610110004115224
7655102263442
oct144355756400
937721730037
1013484154112
11579a4a9620
122743995b14
13136b799420
1491cb98492
1553dbd9dc7
hex323b7dd00

13484154112 has 288 divisors, whose sum is σ = 34267774464. Its totient is φ = 5200281600.

The previous prime is 13484154049. The next prime is 13484154119. The reversal of 13484154112 is 21145148431.

13484154112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13484154119) 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 31 ways as a sum of consecutive naturals, for example, 29249562 + ... + 29250022.

It is an arithmetic number, because the mean of its divisors is an integer number (118985328).

Almost surely, 213484154112 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 13484154112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17133887232).

13484154112 is an abundant number, since it is smaller than the sum of its proper divisors (20783620352).

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

13484154112 is a wasteful number, since it uses less digits than its factorization.

13484154112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565 (or 551 counting only the distinct ones).

The product of its digits is 15360, while the sum is 34.

The spelling of 13484154112 in words is "thirteen billion, four hundred eighty-four million, one hundred fifty-four thousand, one hundred twelve".