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82066973184 = 293272544239
BaseRepresentation
bin100110001101110010…
…0101010001000000000
321211211101111012011100
41030123210222020000
52321033121120214
6101411232014400
75633460522330
oct1143344521000
9254741435140
1082066973184
1131893737689
1213aa4091400
13797b42b081
143d874a90c0
152204bb0309
hex131b92a200

82066973184 has 120 divisors (see below), whose sum is σ = 270686782080. Its totient is φ = 23447697408.

The previous prime is 82066973171. The next prime is 82066973203. The reversal of 82066973184 is 48137966028.

It is a self number, because there is not a number n which added to its sum of digits gives 82066973184.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1239864 + ... + 1304375.

It is an arithmetic number, because the mean of its divisors is an integer number (2255723184).

Almost surely, 282066973184 is an apocalyptic number.

82066973184 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

82066973184 is an abundant number, since it is smaller than the sum of its proper divisors (188619808896).

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

82066973184 is a wasteful number, since it uses less digits than its factorization.

82066973184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2544270 (or 2544251 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 82066973184 in words is "eighty-two billion, sixty-six million, nine hundred seventy-three thousand, one hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 512 576 672 768 896 1008 1152 1344 1536 1792 2016 2304 2688 3584 4032 4608 5376 8064 10752 16128 32256 2544239 5088478 7632717 10176956 15265434 17809673 20353912 22898151 30530868 35619346 40707824 45796302 53429019 61061736 71238692 81415648 91592604 106858038 122123472 142477384 160287057 162831296 183185208 213716076 244246944 284954768 320574114 325662592 366370416 427432152 488493888 569909536 641148228 651325184 732740832 854864304 976987776 1139819072 1282296456 1302650368 1465481664 1709728608 1953975552 2279638144 2564592912 2930963328 3419457216 3907951104 4559276288 5129185824 5861926656 6838914432 9118552576 10258371648 11723853312 13677828864 20516743296 27355657728 41033486592 82066973184