# 19!

It is given that $$19!$$ equals $\overline{121\, 645\, 100\, 408\, abc\, 000}.$
Determine the value of $$\overline{abc}$$.

Details and assumptions:

• $$\overline{abc}$$ means $$100a + 10b + 1c$$, as opposed to $$a \times b \times c$$. As an explicit example, for $$a=2, b=3, c=4$$, $$\overline{abc} = 234$$ and not $$2 \times 3 \times 4 = 24$$.
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