Base | Representation |
---|---|
bin | 10111101111010000… |
… | …01000110000000000 |
3 | 1012220011220001100000 |
4 | 23313220020300000 |
5 | 202100033203134 |
6 | 5504341200000 |
7 | 630550566231 |
oct | 136750106000 |
9 | 35804801300 |
10 | 12744428544 |
11 | 544a996881 |
12 | 2578100000 |
13 | 128145b3a3 |
14 | 88c83d088 |
15 | 4e8cbbe99 |
hex | 2f7a08c00 |
12744428544 has 132 divisors (see below), whose sum is σ = 38162941544. Its totient is φ = 4248059904.
The previous prime is 12744428531. The next prime is 12744428597. The reversal of 12744428544 is 44582444721.
12744428544 is a `hidden beast` number, since 1 + 27 + 44 + 42 + 8 + 544 = 666.
It is a self number, because there is not a number n which added to its sum of digits gives 12744428544.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 223224 + ... + 274440.
Almost surely, 212744428544 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 12744428544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19081470772).
12744428544 is an abundant number, since it is smaller than the sum of its proper divisors (25418513000).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12744428544 is an frugal number, since it uses more digits than its factorization.
12744428544 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 51252 (or 51222 counting only the distinct ones).
The product of its digits is 1146880, while the sum is 45.
The spelling of 12744428544 in words is "twelve billion, seven hundred forty-four million, four hundred twenty-eight thousand, five hundred forty-four".
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