Search a number
-
+
12413427075 = 3252797193421
BaseRepresentation
bin10111000111110010…
…11101110110000011
31012001010001102200100
423203321131312003
5200410314131300
65411434453443
7616421250330
oct134371356603
935033042610
1012413427075
1152a0068545
1224a5294283
13122a9c782a
1485a8b9987
154c9bd7700
hex2e3e5dd83

12413427075 has 144 divisors (see below), whose sum is σ = 25866358336. Its totient is φ = 5573836800.

The previous prime is 12413427067. The next prime is 12413427113. The reversal of 12413427075 is 57072431421.

12413427075 is a `hidden beast` number, since 1 + 241 + 342 + 7 + 0 + 75 = 666.

It is not a de Polignac number, because 12413427075 - 23 = 12413427067 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 29485365 + ... + 29485785.

Almost surely, 212413427075 is an apocalyptic number.

12413427075 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

12413427075 is an abundant number, since it is smaller than the sum of its proper divisors (13452931261).

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

12413427075 is a wasteful number, since it uses less digits than its factorization.

12413427075 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 734 (or 726 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

Adding to 12413427075 its reverse (57072431421), we get a palindrome (69485858496).

The spelling of 12413427075 in words is "twelve billion, four hundred thirteen million, four hundred twenty-seven thousand, seventy-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 63 75 97 105 175 193 225 291 315 421 485 525 579 679 873 965 1263 1351 1455 1575 1737 2037 2105 2425 2895 2947 3395 3789 4053 4365 4825 6111 6315 6755 7275 8685 8841 10185 10525 12159 14475 14735 16975 18721 18945 20265 21825 26523 30555 31575 33775 40837 43425 44205 50925 56163 60795 73675 81253 93605 94725 101325 122511 131047 132615 152775 168489 204185 221025 243759 280815 285859 303975 367533 393141 406265 468025 568771 612555 655235 663075 731277 842445 857577 1020925 1179423 1218795 1404075 1429295 1706313 1837665 1965705 2031325 2572731 2843855 3062775 3276175 3656385 4212225 4287885 5118939 5897115 6093975 7146475 7881541 8531565 9188325 9828525 12863655 14219275 18281925 21439425 23644623 25594695 29485575 39407705 42657825 55170787 64318275 70933869 118223115 127973475 165512361 197038525 275853935 354669345 496537083 591115575 827561805 1379269675 1773346725 2482685415 4137809025 12413427075