perfect totient number

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Number that is the sum of its iterated totients

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type of integer

n=\sum _{i=1}^{c+1}\varphi ^{i}(n),\quad \varphi ^{i}(n)=\left\{{\begin{matrix}\varphi (n),i=1\\\varphi (\varphi ^{i-1}(n)),i\neq 1\end{matrix}}\right.

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