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9866000790 = 2325312373083
BaseRepresentation
bin10010011000000111…
…10011100110010110
3221110120121202202200
421030003303212112
5130201144011130
64310554345330
7466326423462
oct111403634626
927416552680
109866000790
114203111468
121ab412b246
13c130015b9
146984414a2
153cb23e760
hex24c0f3996

9866000790 has 144 divisors (see below), whose sum is σ = 27230967504. Its totient is φ = 2476448640.

The previous prime is 9866000761. The next prime is 9866000839. The reversal of 9866000790 is 970006689.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 3198589 + ... + 3201671.

It is an arithmetic number, because the mean of its divisors is an integer number (189103941).

Almost surely, 29866000790 is an apocalyptic number.

9866000790 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 9866000790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13615483752).

9866000790 is an abundant number, since it is smaller than the sum of its proper divisors (17364966714).

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

9866000790 is a wasteful number, since it uses less digits than its factorization.

9866000790 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3195 (or 3161 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 9866000790 is about 99327.7443114460. The cubic root of 9866000790 is about 2144.7682994223.

The spelling of 9866000790 in words is "nine billion, eight hundred sixty-six million, seven hundred ninety", and thus it is an aban number.

Divisors: 1 2 3 5 6 9 10 15 18 30 31 37 45 62 74 90 93 111 155 185 186 222 279 310 333 370 465 555 558 666 930 961 1110 1147 1395 1665 1922 2294 2790 2883 3083 3330 3441 4805 5735 5766 6166 6882 8649 9249 9610 10323 11470 14415 15415 17205 17298 18498 20646 27747 28830 30830 34410 35557 43245 46245 51615 55494 71114 86490 92490 95573 103230 106671 114071 138735 177785 191146 213342 228142 277470 286719 320013 342213 355570 477865 533355 570355 573438 640026 684426 860157 955730 1026639 1066710 1140710 1433595 1600065 1711065 1720314 2053278 2867190 2962763 3200130 3422130 3536201 4300785 5133195 5925526 7072402 8601570 8888289 10266390 10608603 14813815 17681005 17776578 21217206 26664867 29627630 31825809 35362010 44441445 53043015 53329734 63651618 88882890 106086030 109622231 133324335 159129045 219244462 266648670 318258090 328866693 548111155 657733386 986600079 1096222310 1644333465 1973200158 3288666930 4933000395 9866000790