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19788330241 = 412472732
BaseRepresentation
bin10010011011011110…
…011111010100000001
31220002002020022221001
4102123132133110001
5311011303031431
613031324332001
71300242013621
oct223336372401
956062208831
1019788330241
118434aa6439
123a030a4001
131b34895a64
14d5a146881
157ac3a8e61
hex49b79f501

19788330241 has 27 divisors (see below), whose sum is σ = 21011245833. Its totient is φ = 18636094080.

The previous prime is 19788330239. The next prime is 19788330281. The reversal of 19788330241 is 14203388791.

The square root of 19788330241 is 140671.

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 4485650625 + 15302679616 = 66975^2 + 123704^2 .

It is not a de Polignac number, because 19788330241 - 21 = 19788330239 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 19788330191 and 19788330200.

It is not an unprimeable number, because it can be changed into a prime (19788330281) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 271072981 + ... + 271073053.

Almost surely, 219788330241 is an apocalyptic number.

19788330241 is the 140671-st square number.

19788330241 is the 70336-th centered octagonal number.

It is an amenable number.

19788330241 is a deficient number, since it is larger than the sum of its proper divisors (1222915592).

19788330241 is an frugal number, since it uses more digits than its factorization.

19788330241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 46.

The spelling of 19788330241 in words is "nineteen billion, seven hundred eighty-eight million, three hundred thirty thousand, two hundred forty-one".

Divisors: 1 41 47 73 1681 1927 2209 2993 3431 5329 79007 90569 122713 140671 161257 218489 250463 3713329 5767511 6611537 8958049 10268983 11771761 271073017 421028303 482642201 19788330241