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12543444434521 = 7311132311239901
BaseRepresentation
bin1011011010000111111110…
…0011001011111001011001
31122102010211012122202102101
42312201333203023321121
53121002433233401041
642402213454203401
72433143150335000
oct266417743137131
948363735582371
1012543444434521
113aa6710415a40
1214a70061b3561
136ccac33a2b40
1431516aa25c37
1516b43cb1db31
hexb687f8cbe59

12543444434521 has 128 divisors (see below), whose sum is σ = 17950218854400. Its totient is φ = 8621430048000.

The previous prime is 12543444434413. The next prime is 12543444434539.

12543444434521 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 12543444434521 - 215 = 12543444401753 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12543444434581) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1266881671 + ... + 1266891571.

It is an arithmetic number, because the mean of its divisors is an integer number (140236084800).

Almost surely, 212543444434521 is an apocalyptic number.

12543444434521 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12543444434521 is a deficient number, since it is larger than the sum of its proper divisors (5406774419879).

12543444434521 is a wasteful number, since it uses less digits than its factorization.

12543444434521 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11092 (or 11078 counting only the distinct ones).

The product of its digits is 3686400, while the sum is 46.

It can be divided in two parts, 1254344 and 4434521, that added together give a palindrome (5688865).

The spelling of 12543444434521 in words is "twelve trillion, five hundred forty-three billion, four hundred forty-four million, four hundred thirty-four thousand, five hundred twenty-one".

Divisors: 1 7 11 13 23 49 77 91 143 161 253 299 343 539 637 1001 1123 1127 1771 2093 3289 3773 4459 7007 7861 7889 9901 12353 12397 14599 14651 23023 25829 49049 55027 69307 86471 86779 102193 102557 108911 128713 160589 161161 180803 227723 284119 335777 385189 485149 605297 715351 762377 900991 1124123 1128127 1265621 1415843 1594061 1988833 2350439 2504953 2960399 3396043 3693547 4237079 5007457 5336639 6306937 7868861 8859347 9910901 11118823 11158427 13921831 16453073 17534671 20722793 25854829 32564389 37356473 44148559 55082027 69376307 77831761 78108989 97452817 115171511 122307053 122742697 144544699 145059551 180983803 227950723 255732929 485634149 544822327 856149371 859198879 1011812893 1015416857 1266886621 1589991689 1595655061 1790130503 2813062219 3324528077 3813756289 5993045597 7082690251 11129941823 11169585427 12530913521 19691435533 23271696539 36569808847 41951319179 49578831757 77909592761 87716394647 137840048731 162901875773 255988661929 545367149327 964880341117 1140313130411 1791920633503 12543444434521