Search a number
-
+
198033818420 = 22553186824357
BaseRepresentation
bin1011100001101110111…
…1000100001100110100
3200221011022120022102102
42320123233010030310
511221033124142140
6230550412001232
720210314453124
oct2703357041464
9627138508372
10198033818420
1176a92a22949
1232469160218
131589cb85b19
149828d0ac84
155240a41e15
hex2e1bbc4334

198033818420 has 24 divisors (see below), whose sum is σ = 423717643944. Its totient is φ = 77718932096.

The previous prime is 198033818419. The next prime is 198033818447. The reversal of 198033818420 is 24818330891.

It is a happy number.

198033818420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 33811118884 + 164222699536 = 183878^2 + 405244^2 .

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 93411119 + ... + 93413238.

It is an arithmetic number, because the mean of its divisors is an integer number (17654901831).

Almost surely, 2198033818420 is an apocalyptic number.

198033818420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

198033818420 is an abundant number, since it is smaller than the sum of its proper divisors (225683825524).

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

198033818420 is a wasteful number, since it uses less digits than its factorization.

198033818420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186824419 (or 186824417 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 47.

The spelling of 198033818420 in words is "one hundred ninety-eight billion, thirty-three million, eight hundred eighteen thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 53 106 212 265 530 1060 186824357 373648714 747297428 934121785 1868243570 3736487140 9901690921 19803381842 39606763684 49508454605 99016909210 198033818420