@freemo
It's rarer, but yeah, it is used.

Per this post on Quora,(quora.com/Do-you-say-24-00-o-c)
any time after 24:00 should indicate those many hours after midnight the next day.

But, even then, 24:13 is by the side of Dec 09. And since the date is already being given, why need for 24:13? We don't need to indicate that it's on the next day, right?

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