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9084593268 = 223223101108631
BaseRepresentation
bin10000111010111101…
…11110010001110100
3212110010021011011100
420131132332101310
5122101123441033
64101242210100
7441060524442
oct103536762164
925403234140
109084593268
11394201a423
1219164b3930
13b1a15b29a
14622755b92
1538283b513
hex21d7be474

9084593268 has 72 divisors (see below), whose sum is σ = 24199733376. Its totient is φ = 2867832000.

The previous prime is 9084593261. The next prime is 9084593279. The reversal of 9084593268 is 8623954809.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9084593261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29313 + ... + 137943.

It is an arithmetic number, because the mean of its divisors is an integer number (336107408).

Almost surely, 29084593268 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9084593268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12099866688).

9084593268 is an abundant number, since it is smaller than the sum of its proper divisors (15115140108).

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

9084593268 is a wasteful number, since it uses less digits than its factorization.

9084593268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108765 (or 108760 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The square root of 9084593268 is about 95313.1327152770. The cubic root of 9084593268 is about 2086.5805878040.

The spelling of 9084593268 in words is "nine billion, eighty-four million, five hundred ninety-three thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 101 138 202 207 276 303 404 414 606 828 909 1212 1818 2323 3636 4646 6969 9292 13938 20907 27876 41814 83628 108631 217262 325893 434524 651786 977679 1303572 1955358 2498513 3910716 4997026 7495539 9994052 10971731 14991078 21943462 22486617 29982156 32915193 43886924 44973234 65830386 89946468 98745579 131660772 197491158 252349813 394982316 504699626 757049439 1009399252 1514098878 2271148317 3028197756 4542296634 9084593268