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12838324338 = 2337163208367
BaseRepresentation
bin10111111010011100…
…10100100001110010
31020010201120110011000
423331032110201302
5202243102334323
65521533502430
7633100646010
oct137516244162
936121513130
1012838324338
115498999104
1225a3641a16
131297a45628
1489b0c18b0
15502167e43
hex2fd394872

12838324338 has 64 divisors (see below), whose sum is σ = 32805457920. Its totient is φ = 3645571536.

The previous prime is 12838324321. The next prime is 12838324349. The reversal of 12838324338 is 83342383821.

12838324338 is a `hidden beast` number, since 1 + 28 + 383 + 243 + 3 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 12838324293 and 12838324302.

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, 42570 + ... + 165797.

It is an arithmetic number, because the mean of its divisors is an integer number (512585280).

Almost surely, 212838324338 is an apocalyptic number.

12838324338 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

12838324338 is an abundant number, since it is smaller than the sum of its proper divisors (19967133582).

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

12838324338 is a wasteful number, since it uses less digits than its factorization.

12838324338 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208548 (or 208542 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The spelling of 12838324338 in words is "twelve billion, eight hundred thirty-eight million, three hundred twenty-four thousand, three hundred thirty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 163 189 326 378 489 978 1141 1467 2282 2934 3423 4401 6846 8802 10269 20538 30807 61614 208367 416734 625101 1250202 1458569 1875303 2917138 3750606 4375707 5625909 8751414 11251818 13127121 26254242 33963821 39381363 67927642 78762726 101891463 203782926 237746747 305674389 475493494 611348778 713240241 917023167 1426480482 1834046334 2139720723 4279441446 6419162169 12838324338