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19829820717 = 3272812933823
BaseRepresentation
bin10010011101111100…
…110000110100101101
31220011222022021011100
4102131330300310231
5311102413230332
613035405513313
71301254460250
oct223574606455
956158267140
1019829820717
118456464893
123a14b72839
131b40361b35
14d61867097
157b0d5267c
hex49df30d2d

19829820717 has 48 divisors (see below), whose sum is σ = 32972179968. Its totient is φ = 11249521920.

The previous prime is 19829820641. The next prime is 19829820719. The reversal of 19829820717 is 71702892891.

It is not a de Polignac number, because 19829820717 - 211 = 19829818669 is a prime.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19829820719) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 5185068 + ... + 5188890.

It is an arithmetic number, because the mean of its divisors is an integer number (686920416).

Almost surely, 219829820717 is an apocalyptic number.

It is an amenable number.

19829820717 is a deficient number, since it is larger than the sum of its proper divisors (13142359251).

19829820717 is a wasteful number, since it uses less digits than its factorization.

19829820717 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4410 (or 4407 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 54.

The spelling of 19829820717 in words is "nineteen billion, eight hundred twenty-nine million, eight hundred twenty thousand, seven hundred seventeen".

Divisors: 1 3 7 9 21 63 281 293 843 879 1967 2051 2529 2637 3823 5901 6153 11469 17703 18459 26761 34407 80283 82333 240849 246999 576331 740997 1074263 1120139 1728993 3222789 3360417 5186979 7519841 7840973 9668367 10081251 22559523 23522919 67678569 70568757 314759059 944277177 2203313413 2832831531 6609940239 19829820717