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82818980244 = 2232711132399923
BaseRepresentation
bin100110100100001100…
…1010101100110010100
321220202210112002220200
41031020121111212110
52324103124331434
6102014014100500
75661221500620
oct1151031254624
9256683462820
1082818980244
113213a178720
1214073aaa730
137a6b179270
144019300180
15224ac07199
hex1348655994

82818980244 has 288 divisors, whose sum is σ = 293306517504. Its totient is φ = 18993173760.

The previous prime is 82818980219. The next prime is 82818980249. The reversal of 82818980244 is 44208981828.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82818980249) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 778867 + ... + 878789.

It is an arithmetic number, because the mean of its divisors is an integer number (1018425408).

Almost surely, 282818980244 is an apocalyptic number.

82818980244 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82818980244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146653258752).

82818980244 is an abundant number, since it is smaller than the sum of its proper divisors (210487537260).

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

82818980244 is a wasteful number, since it uses less digits than its factorization.

82818980244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99987 (or 99982 counting only the distinct ones).

The product of its (nonzero) digits is 2359296, while the sum is 54.

The spelling of 82818980244 in words is "eighty-two billion, eight hundred eighteen million, nine hundred eighty thousand, two hundred forty-four".