Search a number
-
+
12667786432 = 267318831033
BaseRepresentation
bin10111100110000111…
…10001010011000000
31012200211200020010021
423303003301103000
5201420423131212
65453002343224
7625630256650
oct136303612300
935624606107
1012667786432
1154106a9494
1225564bab14
13126b605522
148825ac360
154e21cd307
hex2f30f14c0

12667786432 has 112 divisors (see below), whose sum is σ = 29717788672. Its totient is φ = 5242890240.

The previous prime is 12667786363. The next prime is 12667786451. The reversal of 12667786432 is 23468776621.

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 12667786432.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12262588 + ... + 12263620.

Almost surely, 212667786432 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 12667786432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14858894336).

12667786432 is an abundant number, since it is smaller than the sum of its proper divisors (17050002240).

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

12667786432 is a wasteful number, since it uses less digits than its factorization.

12667786432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1966 (or 1956 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 52.

The spelling of 12667786432 in words is "twelve billion, six hundred sixty-seven million, seven hundred eighty-six thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 64 112 124 217 224 248 434 448 496 868 883 992 1033 1736 1766 1984 2066 3472 3532 4132 6181 6944 7064 7231 8264 12362 13888 14128 14462 16528 24724 27373 28256 28924 32023 33056 49448 54746 56512 57848 64046 66112 98896 109492 115696 128092 191611 197792 218984 224161 231392 256184 383222 395584 437968 448322 462784 512368 766444 875936 896644 912139 1024736 1532888 1751872 1793288 1824278 2049472 3065776 3586576 3648556 6131552 6384973 7173152 7297112 12263104 12769946 14346304 14594224 25539892 28276309 29188448 51079784 56552618 58376896 102159568 113105236 197934163 204319136 226210472 395868326 408638272 452420944 791736652 904841888 1583473304 1809683776 3166946608 6333893216 12667786432