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82000146882 = 2337596260509
BaseRepresentation
bin100110001011110010…
…1101111000111000010
321211122201202001201010
41030113211233013002
52320414014200012
6101400443421350
75632016514423
oct1142745570702
9254581661633
1082000146882
1131859a44035
1213a85824856
13796a630c94
143d7c67164a
1521eddaec3c
hex131796f1c2

82000146882 has 32 divisors (see below), whose sum is σ = 171287553600. Its totient is φ = 26143881408.

The previous prime is 82000146869. The next prime is 82000146887. The reversal of 82000146882 is 28864100028.

It is a self number, because there is not a number n which added to its sum of digits gives 82000146882.

It is not an unprimeable number, because it can be changed into a prime (82000146887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3117157 + ... + 3143352.

It is an arithmetic number, because the mean of its divisors is an integer number (5352736050).

Almost surely, 282000146882 is an apocalyptic number.

82000146882 is an abundant number, since it is smaller than the sum of its proper divisors (89287406718).

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

82000146882 is a wasteful number, since it uses less digits than its factorization.

82000146882 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6260610.

The product of its (nonzero) digits is 49152, while the sum is 39.

The spelling of 82000146882 in words is "eighty-two billion, one hundred forty-six thousand, eight hundred eighty-two".

Divisors: 1 2 3 6 37 59 74 111 118 177 222 354 2183 4366 6549 13098 6260509 12521018 18781527 37563054 231638833 369370031 463277666 694916499 738740062 1108110093 1389832998 2216220186 13666691147 27333382294 41000073441 82000146882