Search a number
-
+
12428536208 = 24113710717837
BaseRepresentation
bin10111001001100110…
…00110100110010000
31012002011111001111212
423210303012212100
5200423201124313
65413134355252
7616663546304
oct134463064620
935064431455
1012428536208
1152a8648230
1224aa35bb28
131230b87a4a
1485c8cdd04
154cb1be3a8
hex2e4cc6990

12428536208 has 80 divisors (see below), whose sum is σ = 27233060544. Its totient is φ = 5444974080.

The previous prime is 12428536201. The next prime is 12428536217. The reversal of 12428536208 is 80263582421.

It is not an unprimeable number, because it can be changed into a prime (12428536201) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 687866 + ... + 705702.

Almost surely, 212428536208 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 12428536208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13616530272).

12428536208 is an abundant number, since it is smaller than the sum of its proper divisors (14804524336).

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

12428536208 is a wasteful number, since it uses less digits than its factorization.

12428536208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18000 (or 17994 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 41.

The spelling of 12428536208 in words is "twelve billion, four hundred twenty-eight million, five hundred thirty-six thousand, two hundred eight".

Divisors: 1 2 4 8 11 16 22 37 44 74 88 107 148 176 214 296 407 428 592 814 856 1177 1628 1712 2354 3256 3959 4708 6512 7918 9416 15836 17837 18832 31672 35674 43549 63344 71348 87098 142696 174196 196207 285392 348392 392414 659969 696784 784828 1319938 1569656 1908559 2639876 3139312 3817118 5279752 7259659 7634236 10559504 14519318 15268472 20994149 29038636 30536944 41988298 58077272 70616683 83976596 116154544 141233366 167953192 282466732 335906384 564933464 776783513 1129866928 1553567026 3107134052 6214268104 12428536208