Search a number
-
+
12651795126 = 23219733311531
BaseRepresentation
bin10111100100001101…
…10001001010110110
31012122201120210011200
423302012301022312
5201402324421001
65451231513330
7625344325035
oct136206611266
935581523150
1012651795126
115402676a33
122551088846
1312681c6909
1488040871c
154e0ac0086
hex2f21b12b6

12651795126 has 96 divisors (see below), whose sum is σ = 29357777280. Its totient is φ = 3926102400.

The previous prime is 12651795119. The next prime is 12651795187. The reversal of 12651795126 is 62159715621.

It is a happy number.

12651795126 is a `hidden beast` number, since 1 + 2 + 6 + 517 + 9 + 5 + 126 = 666.

12651795126 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 8262981 + ... + 8264511.

It is an arithmetic number, because the mean of its divisors is an integer number (305810180).

Almost surely, 212651795126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12651795126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14678888640).

12651795126 is an abundant number, since it is smaller than the sum of its proper divisors (16705982154).

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

12651795126 is a wasteful number, since it uses less digits than its factorization.

12651795126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1962 (or 1959 counting only the distinct ones).

The product of its digits is 226800, while the sum is 45.

The spelling of 12651795126 in words is "twelve billion, six hundred fifty-one million, seven hundred ninety-five thousand, one hundred twenty-six".

Divisors: 1 2 3 6 9 18 19 38 57 73 114 146 171 219 331 342 438 657 662 993 1314 1387 1531 1986 2774 2979 3062 4161 4593 5958 6289 8322 9186 12483 12578 13779 18867 24163 24966 27558 29089 37734 48326 56601 58178 72489 87267 111763 113202 144978 174534 217467 223526 261801 335289 434934 459097 506761 523602 670578 918194 1005867 1013522 1377291 1520283 2011734 2123497 2754582 3040566 4131873 4246994 4560849 6370491 8263746 9121698 9628459 12740982 19111473 19256918 28885377 36993553 38222946 57770754 73987106 86656131 110980659 173312262 221961318 332941977 665883954 702877507 1405755014 2108632521 4217265042 6325897563 12651795126