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8091781992 = 23327217134917
BaseRepresentation
bin1111000100100111…
…01100101101101000
3202212221010010010100
413202103230231220
5113032444010432
63414534545400
7404344004100
oct74223545550
922787103110
108091781992
113482666638
121699b08260
139bc56a1a8
1456a95a200
153255ca07c
hex1e24ecb68

8091781992 has 144 divisors (see below), whose sum is σ = 26993044260. Its totient is φ = 2175925248.

The previous prime is 8091781991. The next prime is 8091781993. The reversal of 8091781992 is 2991871908.

It is an interprime number because it is at equal distance from previous prime (8091781991) and next prime (8091781993).

It can be written as a sum of positive squares in 2 ways, for example, as 6523146756 + 1568635236 = 80766^2 + 39606^2 .

It is not an unprimeable number, because it can be changed into a prime (8091781991) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 7483 + ... + 127434.

Almost surely, 28091781992 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 8091781992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13496522130).

8091781992 is an abundant number, since it is smaller than the sum of its proper divisors (18901262268).

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

8091781992 is a wasteful number, since it uses less digits than its factorization.

8091781992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134960 (or 134946 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 54.

The square root of 8091781992 is about 89954.3328139340. The cubic root of 8091781992 is about 2007.6194345790.

The spelling of 8091781992 in words is "eight billion, ninety-one million, seven hundred eighty-one thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 17 18 21 24 28 34 36 42 49 51 56 63 68 72 84 98 102 119 126 136 147 153 168 196 204 238 252 294 306 357 392 408 441 476 504 588 612 714 833 882 952 1071 1176 1224 1428 1666 1764 2142 2499 2856 3332 3528 4284 4998 6664 7497 8568 9996 14994 19992 29988 59976 134917 269834 404751 539668 809502 944419 1079336 1214253 1619004 1888838 2293589 2428506 2833257 3238008 3777676 4587178 4857012 5666514 6610933 6880767 7555352 8499771 9174356 9714024 11333028 13221866 13761534 16055123 16999542 18348712 19832799 20642301 22666056 26443732 27523068 32110246 33999084 39665598 41284602 48165369 52887464 55046136 59498397 64220492 67998168 79331196 82569204 96330738 112385861 118996794 128440984 144496107 158662392 165138408 192661476 224771722 237993588 288992214 337157583 385322952 449543444 475987176 577984428 674315166 899086888 1011472749 1155968856 1348630332 2022945498 2697260664 4045890996 8091781992