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20017506442041 = 342911491741599
BaseRepresentation
bin1001000110100101100000…
…10111000101101100111001
32121212122200102220220110000
410203102300113011230321
510110431323122121131
6110323525425543213
74134134320230333
oct443226027055471
977778612826400
1020017506442041
116418416593059
1222b363a4a4b09
13b228481a6494
144d2bd12cc453
1524aa7bc49ce6
hex1234b05c5b39

20017506442041 has 40 divisors (see below), whose sum is σ = 30936555936000. Its totient is φ = 12883693062240.

The previous prime is 20017506442019. The next prime is 20017506442121. The reversal of 20017506442041 is 14024460571002.

20017506442041 is a `hidden beast` number, since 2 + 0 + 0 + 1 + 7 + 5 + 0 + 644 + 2 + 0 + 4 + 1 = 666.

It is not a de Polignac number, because 20017506442041 - 217 = 20017506310969 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 20017506441987 and 20017506442005.

It is not an unprimeable number, because it can be changed into a prime (20017506443041) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 26621560 + ... + 27363158.

It is an arithmetic number, because the mean of its divisors is an integer number (773413898400).

Almost surely, 220017506442041 is an apocalyptic number.

It is an amenable number.

20017506442041 is a deficient number, since it is larger than the sum of its proper divisors (10919049493959).

20017506442041 is a wasteful number, since it uses less digits than its factorization.

20017506442041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 753131 (or 753122 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 20017506442041 in words is "twenty trillion, seventeen billion, five hundred six million, four hundred forty-two thousand, forty-one".

Divisors: 1 3 9 27 29 81 87 261 783 2349 11491 34473 103419 310257 333239 741599 930771 999717 2224797 2999151 6674391 8997453 20023173 21506371 26992359 60069519 64519113 193557339 580672017 1742016051 8521714109 25565142327 76695426981 230086280943 247129709161 690258842829 741389127483 2224167382449 6672502147347 20017506442041