# 266

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## Number

$266$ (two hundred and sixty-six) is:

$2 \times 7 \times 19$

The $12$th inconsummate number after $62$, $63$, $65$, $75$, $84$, $95$, $161$, $173$, $195$, $216$, $261$:
$\nexists n \in \Z_{>0}: n = 266 \times \map {s_{10} } n$

The $25$th noncototient after $10$, $26$, $34$, $50$, $\ldots$, $206$, $218$, $222$, $232$, $244$, $260$:
$\nexists m \in \Z_{>0}: m - \map \phi m = 266$
where $\map \phi m$ denotes the Euler $\phi$ function

The $27$th sphenic number after $30$, $42$, $66$, $70$, $\ldots$, $182$, $186$, $190$, $195$, $222$, $230$, $231$, $246$, $255$, $258$:
$266 = 2 \times 7 \times 19$

The $42$nd nontotient:
$\nexists m \in \Z_{>0}: \map \phi m = 266$
where $\map \phi m$ denotes the Euler $\phi$ function

The $52$nd positive integer $n$ such that no factorial of an integer can end with $n$ zeroes.