Search a number
-
+
12506335534 = 27111941611709
BaseRepresentation
bin10111010010110111…
…11000100100101110
31012021120212200010101
423221123320210232
5201103110214114
65424554101314
7621630045430
oct135133704456
935246780111
1012506335534
115338555aa0
12251041a83a
131244027554
14868d82650
154d2e3ad74
hex2e96f892e

12506335534 has 128 divisors (see below), whose sum is σ = 25648358400. Its totient is φ = 4427136000.

The previous prime is 12506335531. The next prime is 12506335547. The reversal of 12506335534 is 43553360521.

It is a junction number, because it is equal to n+sod(n) for n = 12506335493 and 12506335502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12506335531) by changing a digit.

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, 7317072 + ... + 7318780.

It is an arithmetic number, because the mean of its divisors is an integer number (200377800).

Almost surely, 212506335534 is an apocalyptic number.

12506335534 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

12506335534 is an abundant number, since it is smaller than the sum of its proper divisors (13142022866).

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

12506335534 is a wasteful number, since it uses less digits than its factorization.

12506335534 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1850.

The product of its (nonzero) digits is 162000, while the sum is 37.

The spelling of 12506335534 in words is "twelve billion, five hundred six million, three hundred thirty-five thousand, five hundred thirty-four".

Divisors: 1 2 7 11 14 19 22 38 41 61 77 82 122 133 154 209 266 287 418 427 451 574 671 779 854 902 1159 1342 1463 1558 1709 2318 2501 2926 3157 3418 4697 5002 5453 6314 8113 8569 9394 10906 11963 12749 16226 17138 17507 18799 23926 25498 27511 32471 35014 37598 47519 55022 59983 64942 70069 89243 95038 104249 119966 131593 140138 178486 192577 208498 227297 263186 332633 357181 385154 454594 490483 522709 665266 714362 729743 770759 980966 1045418 1146739 1331311 1459486 1541518 1980731 2293478 2500267 2662622 3658963 3961462 4274209 5000534 5395313 7317926 8027173 8548418 9319177 10790626 13865117 14644421 16054346 18638354 21788041 27730234 29288842 29919463 43576082 47016299 59838926 81209971 94032598 102510947 152516287 162419942 205021894 305032574 329114093 568469797 658228186 893309681 1136939594 1786619362 6253167767 12506335534