My iPhone 4's battery recently died and won't turn on anymore?

So my iPhone 4's battery recently died and now whenever I try to turn it on it shows that no battery thing even if its been plugged in for 2 days! My friend says this has happened to her and it was so much out of battery that it was actually dead and never reopened! I'm afraid that I will loose all my data like my contacts, my photos, my apps, etc… Does anyone know what to do?

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