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563344414432041 = 3111927110267322919
BaseRepresentation
bin1000000000010110111101011…
…1101101010101101100101001
32201212122012101211202101102110
42000011233113231111230221
51042314313330043311131
65314044503512152533
7226442201515631124
oct20005572755255451
92655565354671373
10563344414432041
1115355402a652030
1253223b08698749
131b2451c539a198
149d1802d78d3bb
15451dd336c5646
hex2005bd7b55b29

563344414432041 has 64 divisors (see below), whose sum is σ = 865806697267200. Its totient is φ = 322225405473600.

The previous prime is 563344414432021. The next prime is 563344414432057. The reversal of 563344414432041 is 140234414443365.

It is a happy number.

563344414432041 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 563344414432041 - 213 = 563344414423849 is a prime.

It is not an unprimeable number, because it can be changed into a prime (563344414432021) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1744376380 + ... + 1744699298.

It is an arithmetic number, because the mean of its divisors is an integer number (13528229644800).

Almost surely, 2563344414432041 is an apocalyptic number.

It is an amenable number.

563344414432041 is a deficient number, since it is larger than the sum of its proper divisors (302462282835159).

563344414432041 is a wasteful number, since it uses less digits than its factorization.

563344414432041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333490.

The product of its (nonzero) digits is 6635520, while the sum is 48.

The spelling of 563344414432041 in words is "five hundred sixty-three trillion, three hundred forty-four billion, four hundred fourteen million, four hundred thirty-two thousand, forty-one".

Divisors: 1 3 11 19 33 57 209 271 627 813 2981 5149 8943 10267 15447 30801 56639 112937 169917 195073 322919 338811 585219 968757 2145803 2782357 3552109 6135461 6437409 8347071 10656327 18406383 30605927 52864783 67490071 87511049 91817781 158594349 202470213 262533147 581512613 962621539 1662709931 1744537839 2887864617 3315409373 4988129793 9946228119 18289809241 36469503103 54869427723 62992778087 109408509309 188978334261 692920558957 898475940083 2078761676871 2695427820249 9883235340913 17071042861577 29649706022739 51213128584731 187781471477347 563344414432041