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199490135841 = 321723375472801
BaseRepresentation
bin1011100111001010001…
…0011110011100100001
3201001220210212220100200
42321302202132130201
511232023433321331
6231351113535413
720261360114403
oct2716242363441
9631823786320
10199490135841
117766aa87767
12327b4a14569
1315a727c22c9
1499264bcb73
1552c880d5e6
hex2e7289e721

199490135841 has 96 divisors (see below), whose sum is σ = 327687130368. Its totient is φ = 116237721600.

The previous prime is 199490135839. The next prime is 199490135881. The reversal of 199490135841 is 148531094991.

It is a happy number.

199490135841 is a `hidden beast` number, since 1 + 9 + 9 + 49 + 0 + 13 + 584 + 1 = 666.

199490135841 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 199490135841 - 21 = 199490135839 is a prime.

It is not an unprimeable number, because it can be changed into a prime (199490135821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 71219641 + ... + 71222441.

It is an arithmetic number, because the mean of its divisors is an integer number (3413407608).

Almost surely, 2199490135841 is an apocalyptic number.

It is an amenable number.

199490135841 is a deficient number, since it is larger than the sum of its proper divisors (128196994527).

199490135841 is a wasteful number, since it uses less digits than its factorization.

199490135841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3431 (or 3428 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 54.

The spelling of 199490135841 in words is "one hundred ninety-nine billion, four hundred ninety million, one hundred thirty-five thousand, eight hundred forty-one".

Divisors: 1 3 9 17 23 37 51 69 111 153 207 333 391 547 629 851 1173 1641 1887 2553 2801 3519 4923 5661 7659 8403 9299 12581 14467 20239 25209 27897 37743 43401 47617 60717 64423 83691 103637 113229 130203 142851 182151 193269 213877 310911 344063 428553 465497 579807 641631 932733 1032189 1095191 1396491 1532147 1761829 1924893 2383651 3096567 3285573 4189473 4596441 5285487 7150953 7913449 9856719 13789323 15856461 21452859 23740347 26046499 35239381 40522067 56689439 71221041 78139497 105718143 121566201 170068317 234418491 317154429 364698603 510204951 599069477 963720463 1303857097 1797208431 2891161389 3911571291 5391625293 8673484167 11734713873 22165570649 66496711947 199490135841