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505286053087431 = 371121767219174017
BaseRepresentation
bin111001011100011100001001…
…1101101000100100011000111
32110021001212121211001020021110
41302320320103231010203013
51012212101314042244211
64550353112552420103
7211300466302020630
oct16270702355044307
92407055554036243
10505286053087431
11136aaa680207800
12488079a49a7633
13188c3368c74465
148cabd9292a887
153d639b3184ea6
hex1cb8e13b448c7

505286053087431 has 96 divisors (see below), whose sum is σ = 896121310855680. Its totient is φ = 247040798146560.

The previous prime is 505286053087411. The next prime is 505286053087457. The reversal of 505286053087431 is 134780350682505.

It is not a de Polignac number, because 505286053087431 - 227 = 505285918869703 is a prime.

It is a super-2 number, since 2×5052860530874312 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505286053087411) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2903572135 + ... + 2903746151.

It is an arithmetic number, because the mean of its divisors is an integer number (9334596988080).

Almost surely, 2505286053087431 is an apocalyptic number.

505286053087431 is a gapful number since it is divisible by the number (51) formed by its first and last digit.

505286053087431 is a deficient number, since it is larger than the sum of its proper divisors (390835257768249).

505286053087431 is a wasteful number, since it uses less digits than its factorization.

505286053087431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241285 (or 241274 counting only the distinct ones).

The product of its (nonzero) digits is 24192000, while the sum is 57.

The spelling of 505286053087431 in words is "five hundred five trillion, two hundred eighty-six billion, fifty-three million, eighty-seven thousand, four hundred thirty-one".

Divisors: 1 3 7 11 17 21 33 51 77 119 121 187 231 357 363 561 847 1309 2057 2541 3927 6171 14399 43197 67219 174017 201657 470533 522051 739409 1142723 1218119 1411599 1914187 2218227 2958289 3428169 3654357 5175863 5742561 7999061 8133499 8874867 12569953 13399309 15527589 20708023 21056057 23997183 24400497 32541179 37709859 40197927 56934493 62124069 63168171 87989671 97623537 138269483 147392399 170803479 227788253 263969013 357952969 414808449 442177197 683364759 967886381 1073858907 2505670783 2903659143 7517012349 11697248723 35091746169 81880741061 128669735953 198853228291 245642223183 386009207859 596559684873 900688151671 1391972598037 1415367095483 2187385511201 2702064455013 4175917794111 4246101286449 6562156533603 9907569668381 15311698578407 24061240623211 29722709005143 45935095735221 72183721869633 168428684362477 505286053087431