A [[wp:Vampire_number|vampire number]] is a natural decimal number with an even number of digits,   that can be factored into two integers. 

These two factors are called the   ''fangs'',   and must have the following properties:
::*   they each contain half the number of the decimal digits of the original number
::*   together they consist of exactly the same decimal digits as the original number
::*   at most one of them has a trailing zero


An example of a vampire number and its fangs: &nbsp; <code> 1260 : (21, 60) </code>


;Task:
# Print the first &nbsp; '''25''' &nbsp; vampire numbers and their fangs. 
# Check if the following numbers are vampire numbers and, &nbsp; if  so, &nbsp; print them and their fangs: 
<big><code> 16758243290880,  24959017348650,  14593825548650 </code></big>


Note that a vampire number can have more than one pair of fangs.


;See also:
* [http://www.numberphile.com/videos/vampire_numbers.html numberphile.com].
* [http://users.cybercity.dk/~dsl522332/math/vampires/ vampire search algorithm]
* [[oeis:A014575|vampire numbers on OEIS]]
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