Search a number
-
+
12731514978 = 23713179130267
BaseRepresentation
bin10111101101101101…
…11000000001100010
31012212021120222020210
423312312320001202
5202033231434403
65503200314550
7630333043320
oct136666700142
935767528223
1012731514978
115443676706
122573912a56
13127b889620
1488ac3ad10
154e7abab03
hex2f6db8062

12731514978 has 64 divisors (see below), whose sum is σ = 31514434560. Its totient is φ = 3338978112.

The previous prime is 12731514973. The next prime is 12731514979. The reversal of 12731514978 is 87941513721.

12731514978 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (12731514973) 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 31 ways as a sum of consecutive naturals, for example, 32601 + ... + 162867.

It is an arithmetic number, because the mean of its divisors is an integer number (492413040).

Almost surely, 212731514978 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12731514978, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15757217280).

12731514978 is an abundant number, since it is smaller than the sum of its proper divisors (18782919582).

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

12731514978 is a wasteful number, since it uses less digits than its factorization.

12731514978 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130471.

The product of its digits is 423360, while the sum is 48.

The spelling of 12731514978 in words is "twelve billion, seven hundred thirty-one million, five hundred fourteen thousand, nine hundred seventy-eight".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 78 91 179 182 273 358 537 546 1074 1253 2327 2506 3759 4654 6981 7518 13962 16289 32578 48867 97734 130267 260534 390801 781602 911869 1693471 1823738 2735607 3386942 5080413 5471214 10160826 11854297 23317793 23708594 35562891 46635586 69953379 71125782 139906758 163224551 303131309 326449102 489673653 606262618 909393927 979347306 1818787854 2121919163 4243838326 6365757489 12731514978