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9484444128 = 253235381047
BaseRepresentation
bin10001101010101000…
…10010000111100000
3220110222122200102110
420311110102013200
5123411004203003
64205044315320
7454014305415
oct106524220740
926428580373
109484444128
1140277a3285
121a083a2b40
13b81c49a23
1465d8bc10c
153a79c0a03
hex2355121e0

9484444128 has 96 divisors (see below), whose sum is σ = 26469628416. Its totient is φ = 2966931968.

The previous prime is 9484444127. The next prime is 9484444153. The reversal of 9484444128 is 8214444849.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9484444121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76501 + ... + 157547.

It is an arithmetic number, because the mean of its divisors is an integer number (275725296).

Almost surely, 29484444128 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 9484444128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13234814208).

9484444128 is an abundant number, since it is smaller than the sum of its proper divisors (16985184288).

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

9484444128 is a wasteful number, since it uses less digits than its factorization.

9484444128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81136 (or 81128 counting only the distinct ones).

The product of its digits is 1179648, while the sum is 48.

The square root of 9484444128 is about 97388.1108144110. The cubic root of 9484444128 is about 2116.7551618225.

The spelling of 9484444128 in words is "nine billion, four hundred eighty-four million, four hundred forty-four thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 53 69 92 96 106 138 159 184 212 276 318 368 424 552 636 736 848 1104 1219 1272 1696 2208 2438 2544 3657 4876 5088 7314 9752 14628 19504 29256 39008 58512 81047 117024 162094 243141 324188 486282 648376 972564 1296752 1864081 1945128 2593504 3728162 3890256 4295491 5592243 7456324 7780512 8590982 11184486 12886473 14912648 17181964 22368972 25772946 29825296 34363928 44737944 51545892 59650592 68727856 89475888 98796293 103091784 137455712 178951776 197592586 206183568 296388879 395185172 412367136 592777758 790370344 1185555516 1580740688 2371111032 3161481376 4742222064 9484444128