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438323227218 = 23229253812
BaseRepresentation
bin1100110000011100001…
…10011010101001010010
31112220101111111000122200
412120032012122221102
524140141221232333
6533210215544030
743445025646302
oct6301606325122
91486344430580
10438323227218
1115998a042208
1270b4968b016
13324451b7656
1417301bb3602
15b6060b8c13
hex660e19aa52

438323227218 has 54 divisors (see below), whose sum is σ = 983760685167. Its totient is φ = 141043328160.

The previous prime is 438323227211. The next prime is 438323227249. The reversal of 438323227218 is 812722323834.

438323227218 is a `hidden beast` number, since 4 + 383 + 2 + 32 + 27 + 218 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 152683218009 + 285640009209 = 390747^2 + 534453^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=468147.

It is not an unprimeable number, because it can be changed into a prime (438323227211) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 81454888 + ... + 81460268.

Almost surely, 2438323227218 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 438323227218

438323227218 is an abundant number, since it is smaller than the sum of its proper divisors (545437457949).

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

438323227218 is an frugal number, since it uses more digits than its factorization.

438323227218 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10828 (or 5415 counting only the distinct ones).

The product of its digits is 774144, while the sum is 45.

The spelling of 438323227218 in words is "four hundred thirty-eight billion, three hundred twenty-three million, two hundred twenty-seven thousand, two hundred eighteen".

Divisors: 1 2 3 6 9 18 29 58 87 174 261 522 841 1682 2523 5046 5381 7569 10762 15138 16143 32286 48429 96858 156049 312098 468147 936294 1404441 2808882 4525421 9050842 13576263 27152526 28955161 40728789 57910322 81457578 86865483 173730966 260596449 521192898 839699669 1679399338 2519099007 5038198014 7557297021 15114594042 24351290401 48702580802 73053871203 146107742406 219161613609 438323227218