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42982789563 = 3472591731061
BaseRepresentation
bin101000000001111110…
…010101000110111011
311002221112200221120000
4220001332111012323
51201012043231223
631425050204043
73051103453200
oct500176250673
9132845627500
1042982789563
1117257733a8a
1283b6a23623
13409001c2bc
14211a7b3ca7
1511b87cb543
hexa01f951bb

42982789563 has 120 divisors (see below), whose sum is σ = 76468970160. Its totient is φ = 23983102080.

The previous prime is 42982789529. The next prime is 42982789607. The reversal of 42982789563 is 36598728924.

42982789563 is a `hidden beast` number, since 42 + 9 + 8 + 27 + 8 + 9 + 563 = 666.

42982789563 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 42982789563 - 220 = 42981740987 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 42982789563.

It is not an unprimeable number, because it can be changed into a prime (42982789513) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 40511053 + ... + 40512113.

It is an arithmetic number, because the mean of its divisors is an integer number (637241418).

Almost surely, 242982789563 is an apocalyptic number.

42982789563 is a deficient number, since it is larger than the sum of its proper divisors (33486180597).

42982789563 is a wasteful number, since it uses less digits than its factorization.

42982789563 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1319 (or 1303 counting only the distinct ones).

The product of its digits is 52254720, while the sum is 63.

The spelling of 42982789563 in words is "forty-two billion, nine hundred eighty-two million, seven hundred eighty-nine thousand, five hundred sixty-three".

Divisors: 1 3 7 9 21 27 49 59 63 81 147 173 177 189 413 441 519 531 567 1061 1211 1239 1323 1557 1593 2891 3183 3633 3717 3969 4671 4779 7427 8477 8673 9549 10207 10899 11151 14013 22281 25431 26019 28647 30621 32697 33453 51989 62599 66843 71449 76293 78057 85941 91863 98091 155967 183553 187797 200529 214347 228879 234171 275589 438193 467901 500143 550659 563391 601587 643041 686637 826767 1284871 1314579 1403703 1500429 1651977 1690173 1929123 3067351 3854613 3943737 4211109 4501287 4955931 5070519 5787369 8994097 9202053 10829627 11563839 11831211 13503861 14867793 26982291 27606159 32488881 34691517 35493633 40511583 75807389 80946873 82818477 97466643 104074551 227422167 242840619 248455431 292399929 530651723 682266501 728521857 877199787 1591955169 2046799503 4775865507 6140398509 14327596521 42982789563