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9106304368 = 2477121272
BaseRepresentation
bin10000111101100011…
…10010110101110000
3212111122010012012011
420132301302311300
5122122203214433
64103335412304
7441443211220
oct103661626560
925448105164
109106304368
1139532a9287
121921824094
13b217c04a5
146255a8080
153846c93cd
hex21ec72d70

9106304368 has 90 divisors (see below), whose sum is σ = 20614266168. Its totient is φ = 3817437120.

The previous prime is 9106304353. The next prime is 9106304429. The reversal of 9106304368 is 8634036019.

9106304368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 9106304368.

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 17 ways as a sum of consecutive naturals, for example, 71703121 + ... + 71703247.

Almost surely, 29106304368 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 9106304368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10307133084).

9106304368 is an abundant number, since it is smaller than the sum of its proper divisors (11507961800).

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

9106304368 is an equidigital number, since it uses as much as digits as its factorization.

9106304368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 40.

The square root of 9106304368 is about 95426.9582874777. The cubic root of 9106304368 is about 2088.2414920600.

The spelling of 9106304368 in words is "nine billion, one hundred six million, three hundred four thousand, three hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 56 71 112 127 142 254 284 497 508 568 889 994 1016 1136 1778 1988 2032 3556 3976 5041 7112 7952 9017 10082 14224 16129 18034 20164 32258 35287 36068 40328 63119 64516 70574 72136 80656 112903 126238 129032 141148 144272 225806 252476 258064 282296 451612 504952 564592 640207 903224 1009904 1145159 1280414 1806448 2290318 2560828 4481449 4580636 5121656 8016113 8962898 9161272 10243312 16032226 17925796 18322544 32064452 35851592 64128904 71703184 81306289 128257808 162612578 325225156 569144023 650450312 1138288046 1300900624 2276576092 4553152184 9106304368