Search a number
-
+
9766841490 = 234572935879
BaseRepresentation
bin10010001100010011…
…00010110010010010
3221012200000221210000
421012021202302102
5130000302411430
64253053150430
7464013532350
oct110611426222
927180027700
109766841490
11416214462a
121a86a8b416
13bc85c3663
146891cc7d0
153c26a3e60
hex246262c92

9766841490 has 160 divisors (see below), whose sum is σ = 30121217280. Its totient is φ = 2224423296.

The previous prime is 9766841489. The next prime is 9766841563. The reversal of 9766841490 is 941486679.

9766841490 is a `hidden beast` number, since 9 + 76 + 6 + 84 + 1 + 490 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 79 ways as a sum of consecutive naturals, for example, 1658371 + ... + 1664249.

It is an arithmetic number, because the mean of its divisors is an integer number (188257608).

Almost surely, 29766841490 is an apocalyptic number.

9766841490 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 9766841490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15060608640).

9766841490 is an abundant number, since it is smaller than the sum of its proper divisors (20354375790).

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

9766841490 is a wasteful number, since it uses less digits than its factorization.

9766841490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6198 (or 6189 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The square root of 9766841490 is about 98827.3316952350. The cubic root of 9766841490 is about 2137.5586835228.

The spelling of 9766841490 in words is "nine billion, seven hundred sixty-six million, eight hundred forty-one thousand, four hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 81 90 105 126 135 162 189 210 270 293 315 378 405 567 586 630 810 879 945 1134 1465 1758 1890 2051 2637 2835 2930 4102 4395 5274 5670 5879 6153 7911 8790 10255 11758 12306 13185 15822 17637 18459 20510 23733 26370 29395 30765 35274 36918 39555 41153 47466 52911 55377 58790 61530 79110 82306 88185 92295 105822 110754 118665 123459 158733 166131 176370 184590 205765 237330 246918 264555 276885 317466 332262 370377 411530 476199 529110 553770 617295 740754 793665 830655 952398 1111131 1234590 1587330 1661310 1722547 1851885 2222262 2380995 3333393 3445094 3703770 4761990 5167641 5555655 6666786 8612735 10335282 11111310 12057829 15502923 16666965 17225470 24115658 25838205 31005846 33333930 36173487 46508769 51676410 60289145 72346974 77514615 93017538 108520461 120578290 139526307 155029230 180867435 217040922 232543845 279052614 325561383 361734870 465087690 542602305 651122766 697631535 976684149 1085204610 1395263070 1627806915 1953368298 3255613830 4883420745 9766841490