Base | Representation |
---|---|
bin | 10111000000001010… |
… | …10110001001000000 |
3 | 1011212122122011110121 |
4 | 23200011112021000 |
5 | 200242423314014 |
6 | 5401231110024 |
7 | 615013305022 |
oct | 134005261100 |
9 | 34778564417 |
10 | 12349432384 |
11 | 5267a29373 |
12 | 2487972314 |
13 | 121a67c553 |
14 | 8521bc012 |
15 | 4c4296124 |
hex | 2e0156240 |
12349432384 has 63 divisors (see below), whose sum is σ = 25433171257. Its totient is φ = 5949348608.
The previous prime is 12349432373. The next prime is 12349432387. The reversal of 12349432384 is 48323494321.
The square root of 12349432384 is 111128.
It is a perfect power (a square), and thus also a powerful number.
It can be written as a sum of positive squares in only one way, i.e., 6475742784 + 5873689600 = 80472^2 + 76640^2 .
It is a Duffinian number.
It is a self number, because there is not a number n which added to its sum of digits gives 12349432384.
It is not an unprimeable number, because it can be changed into a prime (12349432387) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 25781457 + ... + 25781935.
Almost surely, 212349432384 is an apocalyptic number.
12349432384 is the 111128-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 12349432384
12349432384 is an abundant number, since it is smaller than the sum of its proper divisors (13083738873).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12349432384 is an frugal number, since it uses more digits than its factorization.
12349432384 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1028 (or 510 counting only the distinct ones).
The product of its digits is 497664, while the sum is 43.
The spelling of 12349432384 in words is "twelve billion, three hundred forty-nine million, four hundred thirty-two thousand, three hundred eighty-four".
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