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82001970338 = 21724322772
BaseRepresentation
bin100110001011110110…
…0101100010010100010
321211122212011201000112
41030113230230102202
52320420001022323
6101400550451322
75632041150551
oct1142754542242
9254585151015
1082001970338
113185aa7a022
1213a86363b42
13796ab1bc52
143d7c9c7d98
1521ee120178
hex1317b2c4a2

82001970338 has 54 divisors (see below), whose sum is σ = 134258085171. Its totient is φ = 37555668864.

The previous prime is 82001970313. The next prime is 82001970341. The reversal of 82001970338 is 83307910028.

It can be written as a sum of positive squares in 5 ways, for example, as 35943230569 + 46058739769 = 189587^2 + 214613^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=202487.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 82001970295 and 82001970304.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 296035856 + ... + 296036132.

Almost surely, 282001970338 is an apocalyptic number.

82001970338 is a deficient number, since it is larger than the sum of its proper divisors (52256114833).

82001970338 is an equidigital number, since it uses as much as digits as its factorization.

82001970338 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 676 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 41.

The spelling of 82001970338 in words is "eighty-two billion, one million, nine hundred seventy thousand, three hundred thirty-eight".

Divisors: 1 2 17 34 43 86 277 289 554 578 731 1462 1849 3698 4709 9418 11911 12427 23822 24854 31433 62866 76729 80053 153458 160106 202487 404974 512173 534361 1024346 1068722 1304393 2608786 3299347 3442279 6598694 6884558 8706941 17413882 22174681 44349362 56088899 112177798 141871921 148017997 283743842 296035994 953511283 1907022566 2411822657 4823645314 41000985169 82001970338