Search a number
-
+
12746249831024 = 24173197121719207
BaseRepresentation
bin1011100101111011011110…
…1100011000001001110000
31200010112022001210100102222
42321132313230120021300
53132313304424043044
643035314001500212
72453612644634363
oct271366754301160
950115261710388
1012746249831024
114074721810046
12151a385341668
13715c7398b638
14320cc95340da
1517185c4e68ee
hexb97b7b18270

12746249831024 has 80 divisors (see below), whose sum is σ = 24986508136128. Its totient is φ = 6298614153216.

The previous prime is 12746249830933. The next prime is 12746249831041. The reversal of 12746249831024 is 42013894264721.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 663615629 + ... + 663634835.

Almost surely, 212746249831024 is an apocalyptic number.

It is an amenable number.

12746249831024 is a deficient number, since it is larger than the sum of its proper divisors (12240258305104).

12746249831024 is a wasteful number, since it uses less digits than its factorization.

12746249831024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20802 (or 20796 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 53.

The spelling of 12746249831024 in words is "twelve trillion, seven hundred forty-six billion, two hundred forty-nine million, eight hundred thirty-one thousand, twenty-four".

Divisors: 1 2 4 8 16 173 197 346 394 692 788 1217 1384 1576 2434 2768 3152 4868 9736 19207 19472 34081 38414 68162 76828 136324 153656 210541 239749 272648 307312 421082 479498 545296 842164 958996 1684328 1917992 3322811 3368656 3783779 3835984 6645622 7567558 13291244 15135116 23374919 26582488 30270232 41476577 46749838 53164976 60540464 82953154 93499676 165906308 186999352 331812616 373998704 654593767 663625232 1309187534 2618375068 4043860987 4604859043 5236750136 8087721974 9209718086 10473500272 16175443948 18419436172 32350887896 36838872344 64701775792 73677744688 796640614439 1593281228878 3186562457756 6373124915512 12746249831024