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12540864196 = 22721924212
BaseRepresentation
bin10111010110111111…
…00110011011000100
31012100222211220112201
423223133212123010
5201140430123241
65432230124244
7622526405200
oct135337463304
935328756481
1012540864196
115355a99983
12251bab0684
13124b226903
1486d7adb00
154d5eab931
hex2eb7e66c4

12540864196 has 81 divisors (see below), whose sum is σ = 27008151597. Its totient is φ = 5079684960.

The previous prime is 12540864191. The next prime is 12540864199. The reversal of 12540864196 is 69146804521.

It is a happy number.

The square root of 12540864196 is 111986.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 59505796 + 12481358400 = 7714^2 + 111720^2 .

It is not an unprimeable number, because it can be changed into a prime (12540864191) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 29788066 + ... + 29788486.

Almost surely, 212540864196 is an apocalyptic number.

12540864196 is the 111986-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12540864196

12540864196 is an abundant number, since it is smaller than the sum of its proper divisors (14467287401).

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

12540864196 is an equidigital number, since it uses as much as digits as its factorization.

12540864196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 898 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 46.

The spelling of 12540864196 in words is "twelve billion, five hundred forty million, eight hundred sixty-four thousand, one hundred ninety-six".

Divisors: 1 2 4 7 14 19 28 38 49 76 98 133 196 266 361 421 532 722 842 931 1444 1684 1862 2527 2947 3724 5054 5894 7999 10108 11788 15998 17689 20629 31996 35378 41258 55993 70756 82516 111986 151981 177241 223972 303962 354482 391951 607924 708964 783902 1063867 1240687 1567804 2127734 2481374 3367579 4255468 4962748 6735158 7447069 8684809 13470316 14894138 17369618 23573053 29788276 34739236 47146106 63984001 94292212 127968002 165011371 255936004 330022742 447888007 660045484 895776014 1791552028 3135216049 6270432098 12540864196