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9043922944 = 2127245061
BaseRepresentation
bin10000110110000111…
…10101000000000000
3212100021201212222001
420123003311000000
5122010221013234
64053230353344
7440055035200
oct103303650000
925307655861
109043922944
113921071191
12190495b854
13b118bb5c4
1461b1aa400
1537dea5d14
hex21b0f5000

9043922944 has 78 divisors (see below), whose sum is σ = 21038861994. Its totient is φ = 3875880960.

The previous prime is 9043922887. The next prime is 9043922959. The reversal of 9043922944 is 4492293409.

It can be written as a sum of positive squares in only one way, i.e., 8851046400 + 192876544 = 94080^2 + 13888^2 .

It is a junction number, because it is equal to n+sod(n) for n = 9043922894 and 9043922903.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 178174 + ... + 223234.

Almost surely, 29043922944 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 9043922944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10519430997).

9043922944 is an abundant number, since it is smaller than the sum of its proper divisors (11994939050).

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

9043922944 is an equidigital number, since it uses as much as digits as its factorization.

9043922944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45099 (or 45070 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 46.

The square root of 9043922944 is about 95099.5422912224. The cubic root of 9043922944 is about 2083.4621630213.

The spelling of 9043922944 in words is "nine billion, forty-three million, nine hundred twenty-two thousand, nine hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 448 512 784 896 1024 1568 1792 2048 3136 3584 4096 6272 7168 12544 14336 25088 28672 45061 50176 90122 100352 180244 200704 315427 360488 630854 720976 1261708 1441952 2207989 2523416 2883904 4415978 5046832 5767808 8831956 10093664 11535616 17663912 20187328 23071232 35327824 40374656 46142464 70655648 80749312 92284928 141311296 161498624 184569856 282622592 322997248 565245184 645994496 1130490368 1291988992 2260980736 4521961472 9043922944