Search a number
-
+
198183769808166 = 232412105912751873
BaseRepresentation
bin101101000011111101000001…
…001100110001110100100110
3221222201011221200002201110200
4231003331001030301310212
5201434020330032330131
61541300211133131330
756513206365361062
oct5503750114616446
9858634850081420
10198183769808166
11581692a046438a
121a289413629b46
13867785969508c
1436d22078c2aa2
1517da3347202e6
hexb43f41331d26

198183769808166 has 48 divisors (see below), whose sum is σ = 439892216028720. Its totient is φ = 64446940938240.

The previous prime is 198183769808153. The next prime is 198183769808209. The reversal of 198183769808166 is 661808967381891.

198183769808166 is a `hidden beast` number, since 1 + 9 + 8 + 1 + 8 + 376 + 9 + 80 + 8 + 166 = 666.

It is a super-2 number, since 2×1981837698081662 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9165606 + ... + 21917478.

It is an arithmetic number, because the mean of its divisors is an integer number (9164421167265).

Almost surely, 2198183769808166 is an apocalyptic number.

198183769808166 is an abundant number, since it is smaller than the sum of its proper divisors (241708446220554).

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

198183769808166 is a wasteful number, since it uses less digits than its factorization.

198183769808166 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12772981 (or 12772978 counting only the distinct ones).

The product of its (nonzero) digits is 1504935936, while the sum is 81.

The spelling of 198183769808166 in words is "one hundred ninety-eight trillion, one hundred eighty-three billion, seven hundred sixty-nine million, eight hundred eight thousand, one hundred sixty-six".

Divisors: 1 2 3 6 9 18 41 82 123 246 369 738 21059 42118 63177 126354 189531 379062 863419 1726838 2590257 5180514 7770771 12751873 15541542 25503746 38255619 76511238 114766857 229533714 522826793 1045653586 1568480379 3136960758 4705441137 9410882274 268541693507 537083387014 805625080521 1611250161042 2416875241563 4833750483126 11010209433787 22020418867574 33030628301361 66061256602722 99091884904083 198183769808166