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9028188424086 = 23131923367721703
BaseRepresentation
bin1000001101100000100111…
…1101101100011110010110
31011222002022222022010202020
42003120021331230132112
52140404212214032321
631111254214154010
71621156632264546
oct203301175543626
934862288263666
109028188424086
112970919001387
121019882052906
1350647bb40a80
14232d766c3326
15109c9d2624c6
hex83609f6c796

9028188424086 has 128 divisors (see below), whose sum is σ = 21416941486080. Its totient is φ = 2510414425728.

The previous prime is 9028188424069. The next prime is 9028188424127. The reversal of 9028188424086 is 6804248818209.

9028188424086 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×90281884240863 (a number of 40 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12148711 + ... + 12870413.

It is an arithmetic number, because the mean of its divisors is an integer number (167319855360).

Almost surely, 29028188424086 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9028188424086, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10708470743040).

9028188424086 is an abundant number, since it is smaller than the sum of its proper divisors (12388753061994).

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

9028188424086 is a wasteful number, since it uses less digits than its factorization.

9028188424086 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 722130.

The product of its (nonzero) digits is 14155776, while the sum is 60.

The spelling of 9028188424086 in words is "nine trillion, twenty-eight billion, one hundred eighty-eight million, four hundred twenty-four thousand, eighty-six".

Divisors: 1 2 3 6 13 19 23 26 38 39 46 57 69 78 114 138 247 299 367 437 494 598 734 741 874 897 1101 1311 1482 1794 2202 2622 4771 5681 6973 8441 9542 11362 13946 14313 16882 17043 20919 25323 28626 34086 41838 50646 90649 109733 160379 181298 219466 271947 320758 329199 481137 543894 658398 721703 962274 1443406 2084927 2165109 4169854 4330218 6254781 9382139 12509562 13712357 16599169 18764278 27424714 28146417 33198338 41137071 49797507 56292834 82274142 99595014 178260641 215789197 264865001 315384211 356521282 431578394 529730002 534781923 630768422 647367591 794595003 946152633 1069563846 1294735182 1589190006 1892305266 3443245013 4099994743 5032435019 6091895023 6886490026 8199989486 10064870038 10329735039 12183790046 12299984229 15097305057 18275685069 20659470078 24599968458 30194610114 36551370138 65421655247 79194635299 115746005437 130843310494 158389270598 196264965741 231492010874 237583905897 347238016311 392529931482 475167811794 694476032622 1504698070681 3009396141362 4514094212043 9028188424086