Search a number
-
+
12653000334 = 23313193725639
BaseRepresentation
bin10111100100010110…
…10111011010001110
31012122210212000102000
423302023113122032
5201403132002314
65451313413130
7625360504542
oct136213273216
935583760360
1012653000334
11540331a477
12255156a1a6
131268529360
1488063da22
154e0c5c209
hex2f22d768e

12653000334 has 128 divisors (see below), whose sum is σ = 32737152000. Its totient is φ = 3588499584.

The previous prime is 12653000293. The next prime is 12653000341. The reversal of 12653000334 is 43300035621.

It is a happy number.

12653000334 is a `hidden beast` number, since 1 + 2 + 653 + 0 + 0 + 0 + 3 + 3 + 4 = 666.

It is a super-2 number, since 2×126530003342 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12653000298 and 12653000307.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 480687 + ... + 506325.

It is an arithmetic number, because the mean of its divisors is an integer number (255759000).

Almost surely, 212653000334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12653000334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16368576000).

12653000334 is an abundant number, since it is smaller than the sum of its proper divisors (20084151666).

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

12653000334 is a wasteful number, since it uses less digits than its factorization.

12653000334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25719 (or 25713 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

Adding to 12653000334 its reverse (43300035621), we get a palindrome (55953035955).

The spelling of 12653000334 in words is "twelve billion, six hundred fifty-three million, three hundred thirty-four", and thus it is an aban number.

Divisors: 1 2 3 6 9 13 18 19 26 27 37 38 39 54 57 74 78 111 114 117 171 222 234 247 333 342 351 481 494 513 666 702 703 741 962 999 1026 1406 1443 1482 1998 2109 2223 2886 4218 4329 4446 6327 6669 8658 9139 12654 12987 13338 18278 18981 25639 25974 27417 37962 51278 54834 76917 82251 153834 164502 230751 246753 333307 461502 487141 493506 666614 692253 948643 974282 999921 1384506 1461423 1897286 1999842 2845929 2922846 2999763 4384269 5691858 5999526 6332833 8537787 8768538 8999289 12332359 12665666 13152807 17075574 17998578 18024217 18998499 24664718 25613361 26305614 36048434 36997077 37996998 51226722 54072651 56995497 73994154 108145302 110991231 113990994 162217953 170986491 221982462 234314821 324435906 332973693 341972982 468629642 486653859 665947386 702944463 973307718 1405888926 2108833389 4217666778 6326500167 12653000334