Search a number
-
+
20191819282000 = 245310095909641
BaseRepresentation
bin1001001011101010001100…
…01101110011011001010000
32122111022121121021122202121
410211311012031303121100
510121310321214011000
6110535554351024024
74152545051020042
oct445650615633120
978438547248677
1020191819282000
116485336648773
12232138750b014
13b361077c7172
144db409a71a92
15250380013b1a
hex125d46373650

20191819282000 has 40 divisors (see below), whose sum is σ = 48823819028712. Its totient is φ = 8076727712000.

The previous prime is 20191819281967. The next prime is 20191819282039. The reversal of 20191819282000 is 28291819102.

It can be written as a sum of positive squares in 4 ways, for example, as 4005874155024 + 16185945126976 = 2001468^2 + 4023176^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5047952821 + ... + 5047956820.

Almost surely, 220191819282000 is an apocalyptic number.

20191819282000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20191819282000 is an abundant number, since it is smaller than the sum of its proper divisors (28631999746712).

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

20191819282000 is a wasteful number, since it uses less digits than its factorization.

20191819282000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10095909664 (or 10095909648 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 43.

The spelling of 20191819282000 in words is "twenty trillion, one hundred ninety-one billion, eight hundred nineteen million, two hundred eighty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 10095909641 20191819282 40383638564 50479548205 80767277128 100959096410 161534554256 201918192820 252397741025 403836385640 504795482050 807672771280 1009590964100 1261988705125 2019181928200 2523977410250 4038363856400 5047954820500 10095909641000 20191819282000