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19218068900 = 2252349550661
BaseRepresentation
bin10001111001011111…
…000111010110100100
31211121100012001102122
4101321133013112210
5303324311201100
612454553525112
71250145614252
oct217137072644
954540161378
1019218068900
11817210a678
123884113798
131a736b0204
14d045015d2
157772b2985
hex4797c75a4

19218068900 has 36 divisors (see below), whose sum is σ = 41822778900. Its totient is φ = 7665187200.

The previous prime is 19218068893. The next prime is 19218068921. The reversal of 19218068900 is 986081291.

It can be written as a sum of positive squares in 6 ways, for example, as 98922916 + 19119145984 = 9946^2 + 138272^2 .

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 11 ways as a sum of consecutive naturals, for example, 240431 + ... + 310230.

Almost surely, 219218068900 is an apocalyptic number.

19218068900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

19218068900 is an abundant number, since it is smaller than the sum of its proper divisors (22604710000).

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

19218068900 is a wasteful number, since it uses less digits than its factorization.

19218068900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551024 (or 551017 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 44.

The spelling of 19218068900 in words is "nineteen billion, two hundred eighteen million, sixty-eight thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 349 698 1396 1745 3490 6980 8725 17450 34900 550661 1101322 2202644 2753305 5506610 11013220 13766525 27533050 55066100 192180689 384361378 768722756 960903445 1921806890 3843613780 4804517225 9609034450 19218068900