Search a number
-
+
198594414809 = 744316311801
BaseRepresentation
bin1011100011110100100…
…1100100100011011001
3200222121101102120002122
42320331021210203121
511223210132233214
6231122155311025
720230232450000
oct2707511444331
9628541376078
10198594414809
117725040824a
12325a4a4b475
131595c06646b
14987d557c37
155274d7988e
hex2e3d2648d9

198594414809 has 40 divisors (see below), whose sum is σ = 238542212832. Its totient is φ = 165231057600.

The previous prime is 198594414787. The next prime is 198594414827. The reversal of 198594414809 is 908414495891.

It is a happy number.

198594414809 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 198594414809 - 212 = 198594410713 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (198594414839) 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 39 ways as a sum of consecutive naturals, for example, 16822709 + ... + 16834509.

Almost surely, 2198594414809 is an apocalyptic number.

It is an amenable number.

198594414809 is a deficient number, since it is larger than the sum of its proper divisors (39947798023).

198594414809 is an equidigital number, since it uses as much as digits as its factorization.

198594414809 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12035 (or 12014 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 62.

The spelling of 198594414809 in words is "one hundred ninety-eight billion, five hundred ninety-four million, four hundred fourteen thousand, eight hundred nine".

Divisors: 1 7 43 49 163 301 343 1141 2107 2401 7009 7987 11801 14749 49063 55909 82607 103243 343441 391363 507443 578249 1923563 2404087 3552101 4047743 13464941 16828609 24864707 28334201 82713209 94254587 174052949 578992463 659782109 1218370643 4052947241 4618474763 28370630687 198594414809