8,212,890,625

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Number

$8 \, 212 \, 890 \, 625$ is:

$5^{10} \times 29^2$


The $90 \, 625$th square number:
$8 \, 212 \, 890 \, 625 = 90 \, 625 \times 90 \, 625$


The $19$th automorphic number after $1$, $5$, $6$, $25$, $76$, $376$, $625$, $9376$, $\ldots$, $12 \, 890 \, 625$, $87 \, 109 \, 376$, $212 \, 890 \, 625$, $787 \, 109 \, 376$, $1 \, 787 \, 109 \, 376$:
$8 \, 212 \, 890 \, 625^2 = 67 \, 451 \, 572 \, 41\mathbf {8 \, 212 \, 890 \, 625}$
and the $2$nd of the only $2$ such with $10$ digits.


Arithmetic Functions on $8,212,890,625$

\(\ds \map {\sigma_1} { 8,212,890,625 }\) \(=\) \(\ds 10 \, 632 \, 324 \, 001\) $\sigma_1$ of $8,212,890,625$


Also see

  • Previous  ... Next: Automorphic Number
  • Previous  ... Next: Square Number


Sources

  • 1986: David Wells: Curious and Interesting Numbers ... (previous) ... (next): $1,787,109,376$
  • 1986: David Wells: Curious and Interesting Numbers ... (previous) ... (next): $8,212,890,625$
  • 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $1,787,109,376$
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