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12135760727244 = 22371129452894489
BaseRepresentation
bin1011000010011001001110…
…1101010000110011001100
31120222011112000211121120120
42300212103231100303030
53042313014221232434
641451031433344540
72361531315112020
oct260462355206314
946864460747516
1012135760727244
113959824608640
12143bba9868150
136a0521c0535b
142dd5341b0380
15160a2b8a6349
hexb0993b50ccc

12135760727244 has 96 divisors (see below), whose sum is σ = 36521411673600. Its totient is φ = 3043450959360.

The previous prime is 12135760727213. The next prime is 12135760727267. The reversal of 12135760727244 is 44272706753121.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 226420449 + ... + 226474040.

It is an arithmetic number, because the mean of its divisors is an integer number (380431371600).

Almost surely, 212135760727244 is an apocalyptic number.

12135760727244 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12135760727244 is an abundant number, since it is smaller than the sum of its proper divisors (24385650946356).

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

12135760727244 is a wasteful number, since it uses less digits than its factorization.

12135760727244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452894543 (or 452894541 counting only the distinct ones).

The product of its (nonzero) digits is 3951360, while the sum is 51.

The spelling of 12135760727244 in words is "twelve trillion, one hundred thirty-five billion, seven hundred sixty million, seven hundred twenty-seven thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 29 33 42 44 58 66 77 84 87 116 132 154 174 203 231 308 319 348 406 462 609 638 812 924 957 1218 1276 1914 2233 2436 3828 4466 6699 8932 13398 26796 452894489 905788978 1358683467 1811577956 2717366934 3170261423 4981839379 5434733868 6340522846 9510784269 9963678758 12681045692 13133940181 14945518137 19021568538 19927357516 26267880362 29891036274 34872875653 38043137076 39401820543 52535760724 59782072548 69745751306 78803641086 91937581267 104618626959 139491502612 144473341991 157607282172 183875162534 209237253918 275812743801 288946683982 367750325068 418474507836 433420025973 551625487602 577893367964 866840051946 1011313393937 1103250975204 1733680103892 2022626787874 3033940181811 4045253575748 6067880363622 12135760727244