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82915505088 = 26313191939059
BaseRepresentation
bin100110100111000100…
…1100011001111000000
321221000112011002002220
41031032021203033000
52324302332130323
6102031343011040
75663503110303
oct1151611431700
9257015132086
1082915505088
1132189706219
12140a0299a80
137a85174060
144028068b3a
1522544220e3
hex134e2633c0

82915505088 has 224 divisors, whose sum is σ = 250006713600. Its totient is φ = 24041816064.

The previous prime is 82915505083. The next prime is 82915505119. The reversal of 82915505088 is 88050551928.

It is a self number, because there is not a number n which added to its sum of digits gives 82915505088.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82915505081) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9148303 + ... + 9157361.

It is an arithmetic number, because the mean of its divisors is an integer number (1116101400).

Almost surely, 282915505088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82915505088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125003356800).

82915505088 is an abundant number, since it is smaller than the sum of its proper divisors (167091208512).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

82915505088 is a wasteful number, since it uses less digits than its factorization.

82915505088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9299 (or 9289 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 51.

The spelling of 82915505088 in words is "eighty-two billion, nine hundred fifteen million, five hundred five thousand, eighty-eight".