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12294773387904 = 273735312957361
BaseRepresentation
bin1011001011101001100110…
…0110011011001010000000
31121112100221220012201121210
42302322121212123022000
53102414143441403104
642052050234450120
72406160642324620
oct262723146331200
947470856181553
1012294773387904
113a10203065077
121466986893940
136b25137486c7
143070da910880
15164c36813989
hexb2e9999b280

12294773387904 has 128 divisors (see below), whose sum is σ = 37429154167680. Its totient is φ = 3502840872960.

The previous prime is 12294773387861. The next prime is 12294773387959. The reversal of 12294773387904 is 40978337749221.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×122947733879042 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5529817 + ... + 7427544.

It is an arithmetic number, because the mean of its divisors is an integer number (292415266935).

Almost surely, 212294773387904 is an apocalyptic number.

12294773387904 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12294773387904 is an abundant number, since it is smaller than the sum of its proper divisors (25134380779776).

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

12294773387904 is a wasteful number, since it uses less digits than its factorization.

12294773387904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12957738 (or 12957726 counting only the distinct ones).

The product of its (nonzero) digits is 128024064, while the sum is 66.

The spelling of 12294773387904 in words is "twelve trillion, two hundred ninety-four billion, seven hundred seventy-three million, three hundred eighty-seven thousand, nine hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 353 384 448 672 706 896 1059 1344 1412 2118 2471 2688 2824 4236 4942 5648 7413 8472 9884 11296 14826 16944 19768 22592 29652 33888 39536 45184 59304 67776 79072 118608 135552 158144 237216 316288 474432 948864 12957361 25914722 38872083 51829444 77744166 90701527 103658888 155488332 181403054 207317776 272104581 310976664 362806108 414635552 544209162 621953328 725612216 829271104 1088418324 1243906656 1451224432 1658542208 2176836648 2487813312 2902448864 4353673296 4573948433 4975626624 5804897728 8707346592 9147896866 11609795456 13721845299 17414693184 18295793732 27443690598 32017639031 34829386368 36591587464 54887381196 64035278062 73183174928 96052917093 109774762392 128070556124 146366349856 192105834186 219549524784 256141112248 292732699712 384211668372 439099049568 512282224496 585465399424 768423336744 878198099136 1024564448992 1536846673488 1756396198272 2049128897984 3073693346976 4098257795968 6147386693952 12294773387904