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8081283366 = 232131131312333
BaseRepresentation
bin1111000011010111…
…01001100100100110
3202212012100201201100
413201223221210212
5113022302031431
63413521540530
7404155526622
oct74153514446
922765321640
108081283366
113477745892
1216964a4746
139ba3326a0
145693c6182
153247044e6
hex1e1ae9926

8081283366 has 96 divisors (see below), whose sum is σ = 19176629472. Its totient is φ = 2444682240.

The previous prime is 8081283361. The next prime is 8081283367. The reversal of 8081283366 is 6633821808.

8081283366 is a `hidden beast` number, since 8 + 0 + 8 + 1 + 283 + 366 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8081283361) 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 47 ways as a sum of consecutive naturals, for example, 3462736 + ... + 3465068.

It is an arithmetic number, because the mean of its divisors is an integer number (199756557).

Almost surely, 28081283366 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8081283366, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9588314736).

8081283366 is an abundant number, since it is smaller than the sum of its proper divisors (11095346106).

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

8081283366 is a wasteful number, since it uses less digits than its factorization.

8081283366 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2598 (or 2595 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 8081283366 is about 89895.9585632191. The cubic root of 8081283366 is about 2006.7508015346.

The spelling of 8081283366 in words is "eight billion, eighty-one million, two hundred eighty-three thousand, three hundred sixty-six".

Divisors: 1 2 3 6 9 13 18 26 39 78 113 117 131 226 234 262 339 393 678 786 1017 1179 1469 1703 2034 2333 2358 2938 3406 4407 4666 5109 6999 8814 10218 13221 13998 14803 15327 20997 26442 29606 30329 30654 41994 44409 60658 88818 90987 133227 181974 192439 263629 266454 272961 305623 384878 527258 545922 577317 611246 790887 916869 1154634 1581774 1731951 1833738 2372661 2750607 3427177 3463902 3973099 4745322 5501214 6854354 7946198 10281531 11919297 20563062 23838594 30844593 34535399 35757891 61689186 69070798 71515782 103606197 207212394 310818591 448960187 621637182 897920374 1346880561 2693761122 4040641683 8081283366