Search a number
-
+
12649068208 = 2471919131121
BaseRepresentation
bin10111100011111000…
…10111011010110000
31012122112110020112201
423301330113122300
5201401130140313
65451053232544
7625312206610
oct136174273260
935575406481
1012649068208
115401084187
122550192754
13126778065a
1487dcd8a40
154e07320dd
hex2f1f176b0

12649068208 has 80 divisors (see below), whose sum is σ = 29638103040. Its totient is φ = 5108659200.

The previous prime is 12649068197. The next prime is 12649068209. The reversal of 12649068208 is 80286094621.

It is not an unprimeable number, because it can be changed into a prime (12649068209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 390888 + ... + 422008.

It is an arithmetic number, because the mean of its divisors is an integer number (370476288).

Almost surely, 212649068208 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 12649068208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14819051520).

12649068208 is an abundant number, since it is smaller than the sum of its proper divisors (16989034832).

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

12649068208 is a wasteful number, since it uses less digits than its factorization.

12649068208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31346 (or 31340 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 46.

The spelling of 12649068208 in words is "twelve billion, six hundred forty-nine million, sixty-eight thousand, two hundred eight".

Divisors: 1 2 4 7 8 14 16 19 28 38 56 76 112 133 152 191 266 304 382 532 764 1064 1337 1528 2128 2674 3056 3629 5348 7258 10696 14516 21392 25403 29032 31121 50806 58064 62242 101612 124484 203224 217847 248968 406448 435694 497936 591299 871388 1182598 1742776 2365196 3485552 4139093 4730392 5944111 8278186 9460784 11888222 16556372 23776444 33112744 41608777 47552888 66225488 83217554 95105776 112938109 166435108 225876218 332870216 451752436 665740432 790566763 903504872 1581133526 1807009744 3162267052 6324534104 12649068208