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9928581390 = 23257213173183
BaseRepresentation
bin10010011111100101…
…00010000100001110
3221121221101012012200
421033302202010032
5130313204101030
64321111542330
7501016356300
oct111762420416
927557335180
109928581390
114235475172
121b1108a9a6
13c22c73040
146a2891970
153d19a1d60
hex24fca210e

9928581390 has 144 divisors (see below), whose sum is σ = 32338994688. Its totient is φ = 2094809472.

The previous prime is 9928581331. The next prime is 9928581401. The reversal of 9928581390 is 931858299.

9928581390 is a `hidden beast` number, since 9 + 9 + 28 + 581 + 39 + 0 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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, 29262 + ... + 143921.

It is an arithmetic number, because the mean of its divisors is an integer number (224576352).

Almost surely, 29928581390 is an apocalyptic number.

9928581390 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 9928581390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16169497344).

9928581390 is an abundant number, since it is smaller than the sum of its proper divisors (22410413298).

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

9928581390 is a wasteful number, since it uses less digits than its factorization.

9928581390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173223 (or 173213 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 54.

The square root of 9928581390 is about 99642.2670858105. The cubic root of 9928581390 is about 2149.2935403824.

The spelling of 9928581390 in words is "nine billion, nine hundred twenty-eight million, five hundred eighty-one thousand, three hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 13 14 15 18 21 26 30 35 39 42 45 49 63 65 70 78 90 91 98 105 117 126 130 147 182 195 210 234 245 273 294 315 390 441 455 490 546 585 630 637 735 819 882 910 1170 1274 1365 1470 1638 1911 2205 2730 3185 3822 4095 4410 5733 6370 8190 9555 11466 19110 28665 57330 173183 346366 519549 865915 1039098 1212281 1558647 1731830 2251379 2424562 2597745 3117294 3636843 4502758 5195490 6061405 6754137 7273686 7793235 8485967 10910529 11256895 12122810 13508274 15586470 15759653 16971934 18184215 20262411 21821058 22513790 25457901 31519306 33770685 36368430 40524822 42429835 47278959 50915802 54552645 67541370 76373703 78798265 84859670 94557918 101312055 109105290 110317571 127289505 141836877 152747406 157596530 202624110 220635142 236394795 254579010 283673754 330952713 381868515 472789590 551587855 661905426 709184385 763737030 992858139 1103175710 1418368770 1654763565 1985716278 3309527130 4964290695 9928581390