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9023581368 = 23321754113627
BaseRepresentation
bin10000110011101100…
…01110110010111000
3212021212110102120100
420121312032302320
5121440014100433
64051222355400
7436420114254
oct103166166270
925255412510
109023581368
11391063826a
1218b9b8bb60
13b0a618879
146185d3264
1537c2d8b13
hex219d8ecb8

9023581368 has 96 divisors (see below), whose sum is σ = 25926179760. Its totient is φ = 2825487360.

The previous prime is 9023581337. The next prime is 9023581379. The reversal of 9023581368 is 8631853209.

It is a happy number.

9023581368 is a `hidden beast` number, since 9 + 0 + 2 + 3 + 581 + 3 + 68 = 666.

9023581368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 655371 + ... + 668997.

Almost surely, 29023581368 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 9023581368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12963089880).

9023581368 is an abundant number, since it is smaller than the sum of its proper divisors (16902598392).

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

9023581368 is a wasteful number, since it uses less digits than its factorization.

9023581368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14197 (or 14190 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 9023581368 is about 94992.5332223539. The cubic root of 9023581368 is about 2081.8989506001.

The spelling of 9023581368 in words is "nine billion, twenty-three million, five hundred eighty-one thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 408 541 612 1082 1224 1623 2164 3246 4328 4869 6492 9197 9738 12984 13627 18394 19476 27254 27591 36788 38952 40881 54508 55182 73576 81762 82773 109016 110364 122643 163524 165546 220728 231659 245286 327048 331092 463318 490572 662184 694977 926636 981144 1389954 1853272 2084931 2779908 4169862 5559816 7372207 8339724 14744414 16679448 22116621 29488828 44233242 58977656 66349863 88466484 125327519 132699726 176932968 250655038 265399452 375982557 501310076 530798904 751965114 1002620152 1127947671 1503930228 2255895342 3007860456 4511790684 9023581368