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9066646890 = 23257217120937
BaseRepresentation
bin10000111000110101…
…00000110101101010
3212101212111101100200
420130122200311222
5122032030200030
64055401413030
7440452140600
oct103432406552
925355441320
109066646890
113932982004
12191049a176
13b16516822
14620203870
15380e93d60
hex21c6a0d6a

9066646890 has 144 divisors (see below), whose sum is σ = 29035278792. Its totient is φ = 1950455808.

The previous prime is 9066646861. The next prime is 9066646921. The reversal of 9066646890 is 986466609.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 9021770289 + 44876601 = 94983^2 + 6699^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14502 + ... + 135438.

Almost surely, 29066646890 is an apocalyptic number.

9066646890 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 9066646890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14517639396).

9066646890 is an abundant number, since it is smaller than the sum of its proper divisors (19968631902).

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

9066646890 is a wasteful number, since it uses less digits than its factorization.

9066646890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120981 (or 120971 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The square root of 9066646890 is about 95218.9418655763. The cubic root of 9066646890 is about 2085.2056867972.

The spelling of 9066646890 in words is "nine billion, sixty-six million, six hundred forty-six thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 17 18 21 30 34 35 42 45 49 51 63 70 85 90 98 102 105 119 126 147 153 170 210 238 245 255 294 306 315 357 441 490 510 595 630 714 735 765 833 882 1071 1190 1470 1530 1666 1785 2142 2205 2499 3570 4165 4410 4998 5355 7497 8330 10710 12495 14994 24990 37485 74970 120937 241874 362811 604685 725622 846559 1088433 1209370 1693118 1814055 2055929 2176866 2539677 3628110 4111858 4232795 5079354 5442165 5925913 6167787 7619031 8465590 10279645 10884330 11851826 12335574 12698385 14391503 15238062 17777739 18503361 20559290 25396770 28783006 29629565 30838935 35555478 37006722 38095155 43174509 53333217 59259130 61677870 71957515 76190310 86349018 88888695 92516805 100740521 106666434 129523527 143915030 177777390 185033610 201481042 215872545 259047054 266666085 302221563 431745090 503702605 533332170 604443126 647617635 906664689 1007405210 1295235270 1511107815 1813329378 3022215630 4533323445 9066646890