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20071759149 = 331337241771
BaseRepresentation
bin10010101100010111…
…101011110100101101
31220210211120000022000
4102230113223310231
5312101332243044
613115411242513
71310253065151
oct225427536455
956724500260
1020071759149
11856aa91802
123a81ba9439
131b7b511080
14d85a45061
157c71e2d69
hex4ac5ebd2d

20071759149 has 48 divisors (see below), whose sum is σ = 32912994240. Its totient is φ = 12017730240.

The previous prime is 20071759129. The next prime is 20071759151. The reversal of 20071759149 is 94195717002.

20071759149 is a `hidden beast` number, since 2 + 0 + 0 + 7 + 17 + 591 + 49 = 666.

It is not a de Polignac number, because 20071759149 - 219 = 20071234861 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20071759129) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 459634 + ... + 501404.

It is an arithmetic number, because the mean of its divisors is an integer number (685687380).

Almost surely, 220071759149 is an apocalyptic number.

It is an amenable number.

20071759149 is a deficient number, since it is larger than the sum of its proper divisors (12841235091).

20071759149 is a wasteful number, since it uses less digits than its factorization.

20071759149 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41867 (or 41824 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 45.

The spelling of 20071759149 in words is "twenty billion, seventy-one million, seven hundred fifty-nine thousand, one hundred forty-nine".

Divisors: 1 3 9 13 27 37 39 111 117 333 351 481 999 1369 1443 4107 4329 12321 12987 17797 36963 41771 53391 125313 160173 375939 480519 543023 1127817 1545527 1629069 4636581 4887207 13909743 14661621 20091851 41729229 57184499 60275553 171553497 180826659 514660491 542479977 743398487 1543981473 2230195461 6690586383 20071759149