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989041086 = 23211192101137
BaseRepresentation
bin111010111100111…
…001000110111110
32112221001111022100
4322330321012332
54011143303321
6242050325530
733336465465
oct7274710676
92487044270
10989041086
11468319230
122372898a6
13129ba1017
14954d79dc
155bc69326
hex3af391be

989041086 has 144 divisors (see below), whose sum is σ = 2509863408. Its totient is φ = 279072000.

The previous prime is 989041063. The next prime is 989041111. The reversal of 989041086 is 680140989.

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 7219210 + ... + 7219346.

It is an arithmetic number, because the mean of its divisors is an integer number (17429607).

Almost surely, 2989041086 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 989041086, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1254931704).

989041086 is an abundant number, since it is smaller than the sum of its proper divisors (1520822322).

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

989041086 is a wasteful number, since it uses less digits than its factorization.

989041086 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 989041086 is about 31449.0236096449. The cubic root of 989041086 is about 996.3336026254. Note that the first 3 decimals are identical.

The spelling of 989041086 in words is "nine hundred eighty-nine million, forty-one thousand, eighty-six".

Divisors: 1 2 3 6 9 11 18 19 22 33 38 57 66 99 101 114 137 171 198 202 209 274 303 342 361 411 418 606 627 722 822 909 1083 1111 1233 1254 1507 1818 1881 1919 2166 2222 2466 2603 3014 3249 3333 3762 3838 3971 4521 5206 5757 6498 6666 7809 7942 9042 9999 11514 11913 13563 13837 15618 17271 19998 21109 23427 23826 27126 27674 28633 34542 35739 36461 41511 42218 46854 49457 57266 63327 71478 72922 83022 85899 98914 109383 124533 126654 148371 152207 171798 189981 218766 249066 257697 262903 296742 304414 328149 379962 401071 445113 456621 515394 525806 544027 656298 788709 802142 890226 913242 1088054 1203213 1369863 1577418 1632081 2366127 2406426 2739726 2891933 3264162 3609639 4732254 4896243 4995157 5783866 7219278 8675799 9792486 9990314 14985471 17351598 26027397 29970942 44956413 52054794 54946727 89912826 109893454 164840181 329680362 494520543 989041086