Search a number
-
+
12089446824 = 23371336715083
BaseRepresentation
bin10110100001001011…
…00101000110101000
31011012112102112022210
423100211211012220
5144224344244244
65315342445120
7605405413440
oct132045450650
934175375283
1012089446824
1151441a5374
1224148937a0
1311a8851a40
14829863120
154ab53d4b9
hex2d09651a8

12089446824 has 128 divisors (see below), whose sum is σ = 37302128640. Its totient is φ = 3179526912.

The previous prime is 12089446813. The next prime is 12089446841. The reversal of 12089446824 is 42864498021.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 793987 + ... + 809069.

It is an arithmetic number, because the mean of its divisors is an integer number (291422880).

Almost surely, 212089446824 is an apocalyptic number.

12089446824 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12089446824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18651064320).

12089446824 is an abundant number, since it is smaller than the sum of its proper divisors (25212681816).

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

12089446824 is a wasteful number, since it uses less digits than its factorization.

12089446824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15479 (or 15475 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 48.

The spelling of 12089446824 in words is "twelve billion, eighty-nine million, four hundred forty-six thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 84 91 104 156 168 182 273 312 364 367 546 728 734 1092 1101 1468 2184 2202 2569 2936 4404 4771 5138 7707 8808 9542 10276 14313 15083 15414 19084 20552 28626 30166 30828 33397 38168 45249 57252 60332 61656 66794 90498 100191 105581 114504 120664 133588 180996 196079 200382 211162 267176 316743 361992 392158 400764 422324 588237 633486 784316 801528 844648 1176474 1266972 1372553 1568632 2352948 2533944 2745106 4117659 4705896 5490212 5535461 8235318 10980424 11070922 16470636 16606383 22141844 32941272 33212766 38748227 44283688 66425532 71960993 77496454 116244681 132851064 143921986 154992908 215882979 232489362 287843972 309985816 431765958 464978724 503726951 575687944 863531916 929957448 1007453902 1511180853 1727063832 2014907804 3022361706 4029815608 6044723412 12089446824