Dead iPhone 5

I 'uninstalled' my iPhone 5 to factory settings.

Now I want to go and use it again, but he/she seams dead.

When connected to 20V/50Hz, the screen only shows a blinking apple-logo.

Battery is not loading at all.

Then I discovered how to reinstall an iOS version.

But when iTunes was ready to install it, the phone was not found.

Can it be a dead battery?

Error code is 4005