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8412827148 = 223211181117373
BaseRepresentation
bin1111101010111000…
…11000111000001100
3210201022012220021200
413311130120320030
5114212140432043
63510444025500
7415322564565
oct76534307014
923638186250
108412827148
113627904610
121769532290
13a40c2603b
1459b44b16c
153438947d3
hex1f5718e0c

8412827148 has 72 divisors (see below), whose sum is σ = 23327378256. Its totient is φ = 2535235200.

The previous prime is 8412827147. The next prime is 8412827153. The reversal of 8412827148 is 8417282148.

It is not an unprimeable number, because it can be changed into a prime (8412827141) 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 23 ways as a sum of consecutive naturals, for example, 12990 + ... + 130362.

Almost surely, 28412827148 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 8412827148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11663689128).

8412827148 is an abundant number, since it is smaller than the sum of its proper divisors (14914551108).

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

8412827148 is a wasteful number, since it uses less digits than its factorization.

8412827148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117575 (or 117570 counting only the distinct ones).

The product of its digits is 229376, while the sum is 45.

The square root of 8412827148 is about 91721.4650340911. The cubic root of 8412827148 is about 2033.8269069527.

The spelling of 8412827148 in words is "eight billion, four hundred twelve million, eight hundred twenty-seven thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 181 198 362 396 543 724 1086 1629 1991 2172 3258 3982 5973 6516 7964 11946 17919 23892 35838 71676 117373 234746 352119 469492 704238 1056357 1291103 1408476 2112714 2582206 3873309 4225428 5164412 7746618 11619927 15493236 21244513 23239854 42489026 46479708 63733539 84978052 127467078 191200617 233689643 254934156 382401234 467379286 701068929 764802468 934758572 1402137858 2103206787 2804275716 4206413574 8412827148