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198891693 = 34711213223
BaseRepresentation
bin10111101101011…
…01100010101101
3111212020202010000
423312231202231
5401404013233
631422534513
74633360110
oct1366554255
9455222100
10198891693
11a22a6300
1256737439
13322899c0
141c5b4577
15126dad13
hexbdad8ad

198891693 has 120 divisors (see below), whose sum is σ = 403741184. Its totient is φ = 94944960.

The previous prime is 198891689. The next prime is 198891701. The reversal of 198891693 is 396198891.

It is not a de Polignac number, because 198891693 - 22 = 198891689 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198891643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 891780 + ... + 892002.

Almost surely, 2198891693 is an apocalyptic number.

198891693 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

198891693 is an abundant number, since it is smaller than the sum of its proper divisors (204849491).

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

198891693 is a wasteful number, since it uses less digits than its factorization.

198891693 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 257 counting only the distinct ones).

The product of its digits is 839808, while the sum is 54.

The square root of 198891693 is about 14102.8966173620. The cubic root of 198891693 is about 583.7213096449.

The spelling of 198891693 in words is "one hundred ninety-eight million, eight hundred ninety-one thousand, six hundred ninety-three".

Divisors: 1 3 7 9 11 13 21 27 33 39 63 77 81 91 99 117 121 143 189 223 231 273 297 351 363 429 567 669 693 819 847 891 1001 1053 1089 1287 1561 1573 2007 2079 2453 2457 2541 2899 3003 3267 3861 4683 4719 6021 6237 7359 7371 7623 8697 9009 9801 11011 11583 14049 14157 17171 18063 20293 22077 22869 26091 26983 27027 31889 33033 42147 42471 51513 60879 66231 68607 78273 80949 81081 95667 99099 126441 127413 154539 182637 188881 198693 223223 234819 242847 287001 297297 350779 463617 547911 566643 669669 728541 861003 891891 1052337 1390851 1643733 1699929 2009007 2185623 2455453 2583009 3157011 5099787 6027021 7366359 9471033 15299361 18081063 22099077 28413099 66297231 198891693