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12613163425137 = 3411349183122153
BaseRepresentation
bin1011011110001011101100…
…1000000001110101110001
31122122210210001020102220000
42313202323020001311301
53123123224314101022
642454223550140213
72441161643101212
oct267427310016561
948583701212800
1012613163425137
114023237a24550
1214b8622ab1669
1370655453b542
143186a21ad409
1516d16d7226ac
hexb78bb201d71

12613163425137 has 80 divisors (see below), whose sum is σ = 20625870249600. Its totient is φ = 7617931027200.

The previous prime is 12613163425133. The next prime is 12613163425169. The reversal of 12613163425137 is 73152436131621.

12613163425137 is a `hidden beast` number, since 1 + 2 + 6 + 1 + 3 + 1 + 634 + 2 + 5 + 1 + 3 + 7 = 666.

12613163425137 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 12613163425137 - 22 = 12613163425133 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12613163425092 and 12613163425101.

It is not an unprimeable number, because it can be changed into a prime (12613163425133) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 569354853 + ... + 569377005.

It is an arithmetic number, because the mean of its divisors is an integer number (257823378120).

Almost surely, 212613163425137 is an apocalyptic number.

It is an amenable number.

12613163425137 is a deficient number, since it is larger than the sum of its proper divisors (8012706824463).

12613163425137 is a wasteful number, since it uses less digits than its factorization.

12613163425137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24356 (or 24347 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

Adding to 12613163425137 its reverse (73152436131621), we get a palindrome (85765599556758).

The spelling of 12613163425137 in words is "twelve trillion, six hundred thirteen billion, one hundred sixty-three million, four hundred twenty-five thousand, one hundred thirty-seven".

Divisors: 1 3 9 11 27 33 81 99 297 349 891 1047 1831 3141 3839 5493 9423 11517 16479 20141 22153 28269 34551 49437 60423 66459 103653 148311 181269 199377 243683 310959 543807 598131 639019 731049 1631421 1794393 1917057 2193147 5751171 6579441 7029209 7731397 17253513 19738323 21087627 23194191 40562143 51760539 63262881 69582573 85045367 121686429 189788643 208747719 255136101 365059287 446183573 569365929 626243157 765408303 1095177861 1338550719 2296224909 3285533583 4015652157 6888674727 12046956471 14156187907 36140869413 42468563721 127405691163 155718066977 382217073489 467154200931 1146651220467 1401462602793 4204387808379 12613163425137