A population of rabbits live in a meadow. The population began as only 10 rabbits, but their growth eventually exponentially increased. Every 2 weeks, the population of rabbits doubled. With limited resources and space in the meadow, the rabbits were only able to grow to a limited size. When the population of the rabbits was 10 240, the meadow was completely depleted of the resources. At this point, the population loses 8% of its rabbits every week. How many rabbits would remain after 64 weeks?

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