The electric cooperative needs to know the mean household usage of electricity by its non-commercial customers in kWh per day. They would like the estimate to have a maximum error of 0.09 kWh. A previous study found that for an average family the standard deviation is 2.1 kWh and the mean is 16.2 kWh per day. If they are using a 99 % level of confidence, how large of a sample is required to estimate the mean usage of electricity? Round your answer up to the next integer.