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19833088900 = 2252140832
BaseRepresentation
bin10010011110001001…
…001110101110000100
31220012012110022021011
4102132021032232010
5311104232321100
613040003532004
71301324321422
oct223611165604
956165408234
1019833088900
118458297269
123a1608a004
131b40c37581
14d62078112
157b129abba
hex49e24eb84

19833088900 has 27 divisors (see below), whose sum is σ = 43040859141. Its totient is φ = 7932672240.

The previous prime is 19833088889. The next prime is 19833088901. The reversal of 19833088900 is 988033891.

The square root of 19833088900 is 140830.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 7139912004 + 12693176896 = 84498^2 + 112664^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (19833088901) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1401259 + ... + 1415341.

Almost surely, 219833088900 is an apocalyptic number.

19833088900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

19833088900 is the 140830-th square number.

It is an amenable number.

19833088900 is an abundant number, since it is smaller than the sum of its proper divisors (23207770241).

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

19833088900 is an frugal number, since it uses more digits than its factorization.

19833088900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28180 (or 14090 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 49.

Multiplying 19833088900 by its sum of digits (49), we get a square (971821356100 = 9858102).

The spelling of 19833088900 in words is "nineteen billion, eight hundred thirty-three million, eighty-eight thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 14083 28166 56332 70415 140830 281660 352075 704150 1408300 198330889 396661778 793323556 991654445 1983308890 3966617780 4958272225 9916544450 19833088900