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198113424792 = 233163263192557
BaseRepresentation
bin1011100010000001111…
…0101111010110011000
3200221100212100201211120
42320200132233112120
511221214014043132
6231002334125240
720212302216513
oct2704036572630
9627325321746
10198113424792
1177023955338
123248b950820
13158b3508c9a
14983570dd7a
155247a1902c
hex2e207af598

198113424792 has 64 divisors (see below), whose sum is σ = 500219470080. Its totient is φ = 65382774912.

The previous prime is 198113424787. The next prime is 198113424799. The reversal of 198113424792 is 297424311891.

198113424792 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198113424799) 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 15 ways as a sum of consecutive naturals, for example, 932578 + ... + 1125134.

It is an arithmetic number, because the mean of its divisors is an integer number (7815929220).

Almost surely, 2198113424792 is an apocalyptic number.

198113424792 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

198113424792 is an abundant number, since it is smaller than the sum of its proper divisors (302106045288).

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

198113424792 is a wasteful number, since it uses less digits than its factorization.

198113424792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192992 (or 192988 counting only the distinct ones).

The product of its digits is 870912, while the sum is 51.

The spelling of 198113424792 in words is "one hundred ninety-eight billion, one hundred thirteen million, four hundred twenty-four thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 24 163 263 326 489 526 652 789 978 1052 1304 1578 1956 2104 3156 3912 6312 42869 85738 128607 171476 192557 257214 342952 385114 514428 577671 770228 1028856 1155342 1540456 2310684 4621368 31386791 50642491 62773582 94160373 101284982 125547164 151927473 188320746 202569964 251094328 303854946 376641492 405139928 607709892 753282984 1215419784 8254726033 16509452066 24764178099 33018904132 49528356198 66037808264 99056712396 198113424792