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12743884323345 = 357245493811523
BaseRepresentation
bin1011100101110010101010…
…1100101011101000010001
31200010022012012200002221110
42321130222230223220101
53132243433341321340
643034243140443533
72453500222306500
oct271345254535021
950108165602843
1012743884323345
11407371851711a
121519a250a95a9
1371598788b656
14320b432d2837
1517176e9d5680
hexb972ab2ba11

12743884323345 has 48 divisors (see below), whose sum is σ = 23724449985600. Its totient is φ = 5824493490816.

The previous prime is 12743884323337. The next prime is 12743884323349. The reversal of 12743884323345 is 54332348834721.

12743884323345 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12743884323345 - 23 = 12743884323337 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12743884323349) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1437754 + ... + 5249276.

It is an arithmetic number, because the mean of its divisors is an integer number (494259374700).

Almost surely, 212743884323345 is an apocalyptic number.

12743884323345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12743884323345 is a deficient number, since it is larger than the sum of its proper divisors (10980565662255).

12743884323345 is a wasteful number, since it uses less digits than its factorization.

12743884323345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3816094 (or 3816087 counting only the distinct ones).

The product of its digits is 46448640, while the sum is 57.

The spelling of 12743884323345 in words is "twelve trillion, seven hundred forty-three billion, eight hundred eighty-four million, three hundred twenty-three thousand, three hundred forty-five".

Divisors: 1 3 5 7 15 21 35 49 105 147 245 735 4549 13647 22745 31843 68235 95529 159215 222901 477645 668703 1114505 3343515 3811523 11434569 19057615 26680661 57172845 80041983 133403305 186764627 400209915 560293881 933823135 2801469405 17338618127 52015854381 86693090635 121370326889 260079271905 364110980667 606851634445 849592288223 1820554903335 2548776864669 4247961441115 12743884323345