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9990000666 = 23217313728463
BaseRepresentation
bin10010100110111001…
…10101000000011010
3221210012221121121200
421103130311000122
5130424420010131
64331144215030
7502363414242
oct112334650032
927705847550
109990000666
1142671053a8
121b2976a476
13c328c8cc9
146aaabcb22
153d70852e6
hex25373501a

9990000666 has 96 divisors (see below), whose sum is σ = 24297781248. Its totient is φ = 2950940160.

The previous prime is 9990000661. The next prime is 9990000667. The reversal of 9990000666 is 6660000999.

It is a super-2 number, since 2×99900006662 (a number of 21 digits) contains 22 as substring.

9990000666 is a strobogrammatic number because it is the same when read upside-down.

It is a zygodrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (9990000661) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 336751 + ... + 365213.

It is an arithmetic number, because the mean of its divisors is an integer number (253101888).

Almost surely, 29990000666 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9990000666, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12148890624).

9990000666 is an abundant number, since it is smaller than the sum of its proper divisors (14307780582).

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

9990000666 is a wasteful number, since it uses less digits than its factorization.

9990000666 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28556 (or 28553 counting only the distinct ones).

The product of its (nonzero) digits is 157464, while the sum is 45.

The square root of 9990000666 is about 99949.9908254123. The cubic root of 9990000666 is about 2153.7163534809.

The spelling of 9990000666 in words is "nine billion, nine hundred ninety million, six hundred sixty-six", and thus it is an aban number.

Divisors: 1 2 3 6 9 17 18 31 34 37 51 62 74 93 102 111 153 186 222 279 306 333 527 558 629 666 1054 1147 1258 1581 1887 2294 3162 3441 3774 4743 5661 6882 9486 10323 11322 19499 20646 28463 38998 56926 58497 85389 116994 170778 175491 256167 350982 483871 512334 882353 967742 1053131 1451613 1764706 2106262 2647059 2903226 3159393 4354839 5294118 6318786 7941177 8709678 9478179 15000001 15882354 17903227 18956358 30000002 32647061 35806454 45000003 53709681 65294122 90000006 97941183 107419362 135000009 161129043 195882366 270000018 293823549 322258086 555000037 587647098 1110000074 1665000111 3330000222 4995000333 9990000666