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12768073626 = 237111131991229
BaseRepresentation
bin10111110010000100…
…10101011110011010
31012221211101100021210
423321002111132122
5202122111324001
65510544043550
7631255556310
oct137102253632
935854340253
1012768073626
115462276770
1225840035b6
131286319969
14891a360b0
154eaddcdd6
hex2f909579a

12768073626 has 128 divisors (see below), whose sum is σ = 32306688000. Its totient is φ = 3267855360.

The previous prime is 12768073609. The next prime is 12768073667. The reversal of 12768073626 is 62637086721.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10388380 + ... + 10389608.

It is an arithmetic number, because the mean of its divisors is an integer number (252396000).

Almost surely, 212768073626 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12768073626, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16153344000).

12768073626 is an abundant number, since it is smaller than the sum of its proper divisors (19538614374).

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

12768073626 is a wasteful number, since it uses less digits than its factorization.

12768073626 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1564.

The product of its (nonzero) digits is 1016064, while the sum is 48.

The spelling of 12768073626 in words is "twelve billion, seven hundred sixty-eight million, seventy-three thousand, six hundred twenty-six".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 113 154 199 226 231 339 398 462 597 678 791 1194 1229 1243 1393 1582 2189 2373 2458 2486 2786 3687 3729 4179 4378 4746 6567 7374 7458 8358 8603 8701 13134 13519 15323 17206 17402 22487 25809 26103 27038 30646 40557 44974 45969 51618 52206 67461 81114 91938 94633 134922 138877 157409 189266 244571 247357 277754 283899 314818 416631 472227 489142 494714 567798 733713 742071 833262 944454 972139 1467426 1484142 1527647 1711997 1731499 1944278 2690281 2916417 3055294 3423994 3462998 4582941 5135991 5194497 5380562 5832834 8070843 9165882 10271982 10388994 10693529 16141686 18831967 21387058 27636523 32080587 37663934 55273046 56495901 64161174 82909569 112991802 165819138 193455661 304001753 386911322 580366983 608003506 912005259 1160733966 1824010518 2128012271 4256024542 6384036813 12768073626