A positive integer $$n>1$$ is called beautiful if $$n$$ can be written in one and only one way as $$n=a_{1}+a_{2}+\cdot\cdot\cdot+a_{k}=a_{1}\cdot a_{2}\cdot\cdot\cdot a_{k}$$ for some positive integers $$a_{1},a_{2},...,a_{k}$$, where $$k>1$$ and $$a_{1}\ge a_{2}\ge...\ge a_{k}$$. (For example $$6$$ is beautiful since $$6=3\cdot 2\cdot 1=3+2+1$$, and this is unique. But $$8$$ is not beautiful since $$8=4+2+1+1=4\cdot 2\cdot 1\cdot 1$$ as well as $$8=2+2+2+1+1=2\cdot 2\cdot 2\cdot 1\cdot 1$$, so uniqueness is lost.) Find the largest beautiful number less than $$100$$.