Search a number
-
+
9084941831466 = 2323715786885693
BaseRepresentation
bin1000010000110100000010…
…1110110000110100101010
31012011111211012211221200100
42010031000232300310222
52142321430102101331
631153321544450230
71625236220265624
oct204150056606452
935144735757610
109084941831466
1129929a1902346
121028880779976
1350b924a97c27
142359dbcddc14
1510b4c0961ae6
hex84340bb0d2a

9084941831466 has 48 divisors (see below), whose sum is σ = 20344806564264. Its totient is φ = 2927700277632.

The previous prime is 9084941831377. The next prime is 9084941831507. The reversal of 9084941831466 is 6641381494809.

9084941831466 is a `hidden beast` number, since 9 + 0 + 8 + 4 + 94 + 1 + 83 + 1 + 466 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9083442515625 + 1499315841 = 3013875^2 + 38721^2 .

It is a super-2 number, since 2×90849418314662 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43338285 + ... + 43547408.

Almost surely, 29084941831466 is an apocalyptic number.

9084941831466 is an abundant number, since it is smaller than the sum of its proper divisors (11259864732798).

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

9084941831466 is a wasteful number, since it uses less digits than its factorization.

9084941831466 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86885895 (or 86885892 counting only the distinct ones).

The product of its (nonzero) digits is 35831808, while the sum is 63.

The spelling of 9084941831466 in words is "nine trillion, eighty-four billion, nine hundred forty-one million, eight hundred thirty-one thousand, four hundred sixty-six".

Divisors: 1 2 3 6 9 18 37 74 111 157 222 314 333 471 666 942 1413 2826 5809 11618 17427 34854 52281 104562 86885693 173771386 260657079 521314158 781971237 1563942474 3214770641 6429541282 9644311923 13641053801 19288623846 27282107602 28932935769 40923161403 57865871538 81846322806 122769484209 245538968418 504718990637 1009437981274 1514156971911 3028313943822 4542470915733 9084941831466