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20541545838 = 23311228715121
BaseRepresentation
bin10011001000010111…
…110001110101101110
31222000120112122111000
4103020113301311232
5314032113431323
613234152341130
71325016154512
oct231027616556
958016478430
1020541545838
118791192470
123b933a47a6
131c24948068
14dcc1b4142
1580358de43
hex4c85f1d6e

20541545838 has 64 divisors (see below), whose sum is σ = 49822755840. Its totient is φ = 6221577600.

The previous prime is 20541545809. The next prime is 20541545863. The reversal of 20541545838 is 83854514502.

20541545838 is a `hidden beast` number, since 2 + 0 + 54 + 15 + 4 + 583 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 20541545793 and 20541545802.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 1350918 + ... + 1366038.

It is an arithmetic number, because the mean of its divisors is an integer number (778480560).

Almost surely, 220541545838 is an apocalyptic number.

20541545838 is an abundant number, since it is smaller than the sum of its proper divisors (29281210002).

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

20541545838 is a wasteful number, since it uses less digits than its factorization.

20541545838 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17430 (or 17424 counting only the distinct ones).

The product of its (nonzero) digits is 768000, while the sum is 45.

The spelling of 20541545838 in words is "twenty billion, five hundred forty-one million, five hundred forty-five thousand, eight hundred thirty-eight".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 594 2287 4574 6861 13722 15121 20583 25157 30242 41166 45363 50314 61749 75471 90726 123498 136089 150942 166331 226413 272178 332662 408267 452826 498993 679239 816534 997986 1358478 1496979 2993958 4490937 8981874 34581727 69163454 103745181 207490362 311235543 380398997 622471086 760797994 933706629 1141196991 1867413258 2282393982 3423590973 6847181946 10270772919 20541545838