Base | Representation |
---|---|
bin | 10110111110011111… |
… | …11010011101000000 |
3 | 1011211200021112102100 |
4 | 23133033322131000 |
5 | 200230332102334 |
6 | 5400010550400 |
7 | 614453246124 |
oct | 133717723500 |
9 | 34750245370 |
10 | 12335425344 |
11 | 5260031700 |
12 | 2483138400 |
13 | 12177b6b68 |
14 | 8503b3584 |
15 | 4c2e2ac99 |
hex | 2df3fa740 |
12335425344 has 126 divisors (see below), whose sum is σ = 38863995170. Its totient is φ = 3737986560.
The previous prime is 12335425331. The next prime is 12335425363. The reversal of 12335425344 is 44352453321.
12335425344 is a `hidden beast` number, since 1 + 23 + 3 + 542 + 53 + 44 = 666.
It can be written as a sum of positive squares in only one way, i.e., 8151922944 + 4183502400 = 90288^2 + 64680^2 .
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 12335425299 and 12335425308.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 18799 + ... + 158190.
Almost surely, 212335425344 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 12335425344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19431997585).
12335425344 is an abundant number, since it is smaller than the sum of its proper divisors (26528569826).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12335425344 is a wasteful number, since it uses less digits than its factorization.
12335425344 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 177029 (or 177005 counting only the distinct ones).
The product of its digits is 172800, while the sum is 36.
Adding to 12335425344 its reverse (44352453321), we get a palindrome (56687878665).
The spelling of 12335425344 in words is "twelve billion, three hundred thirty-five million, four hundred twenty-five thousand, three hundred forty-four".
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