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19904412889 = 1724321932
BaseRepresentation
bin10010100010011001…
…010011110011011001
31220101011122221101101
4102202121103303121
5311231012203024
613051032351401
71303151501164
oct224231236331
956334587341
1019904412889
118494582009
123a35b45561
131b5294a90a
14d6b722adb
157b7688c44
hex4a2653cd9

19904412889 has 27 divisors (see below), whose sum is σ = 21760036893. Its totient is φ = 18203092992.

The previous prime is 19904412851. The next prime is 19904412907. The reversal of 19904412889 is 98821440991.

It is a happy number.

The square root of 19904412889 is 141083.

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

It can be written as a sum of positive squares in 4 ways, for example, as 12131289 + 19892281600 = 3483^2 + 141040^2 .

It is not a de Polignac number, because 19904412889 - 29 = 19904412377 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (19904412809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 103131577 + ... + 103131769.

Almost surely, 219904412889 is an apocalyptic number.

19904412889 is the 141083-rd square number.

19904412889 is the 70542-nd centered octagonal number.

It is an amenable number.

19904412889 is a deficient number, since it is larger than the sum of its proper divisors (1855624004).

19904412889 is an frugal number, since it uses more digits than its factorization.

19904412889 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 55.

The spelling of 19904412889 in words is "nineteen billion, nine hundred four million, four hundred twelve thousand, eight hundred eighty-nine".

Divisors: 1 17 43 193 289 731 1849 3281 8299 12427 31433 37249 55777 141083 356857 534361 633233 1601707 2398411 6066569 10764961 27229019 68873401 103131673 462893323 1170847817 19904412889