# Problem 170: Find the largest 0 to 9 pandigital that can be formed by concatenating products

![graphic](img170.gif)

Take the number 6 and multiply it by each of 1273 and 9854: 6 × 1273 =
7638 6 × 9854 = 59124 By concatenating these products we get the 1 to 9
pandigital 763859124. We will call 763859124 the "concatenated product
of 6 and (1273,9854)". Notice too, that the concatenation of the input
numbers, 612739854, is also 1 to 9 pandigital. The same can be done for
0 to 9 pandigital numbers. What is the largest 0 to 9 pandigital
10-digit concatenated product of an integer with two or more other
integers, such that the concatenation of the input numbers is also a 0
to 9 pandigital 10-digit number?