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42015058425 = 37521722659
BaseRepresentation
bin100111001000010010…
…101110100111111001
311000110002202010000000
4213020102232213321
51142021323332200
631145040303213
73015113050464
oct471022564771
9130402663000
1042015058425
111690045028a
128186911b09
133c6769ca22
1420680662db
15115d871300
hex9c84ae9f9

42015058425 has 144 divisors (see below), whose sum is σ = 83033921600. Its totient is φ = 21081980160.

The previous prime is 42015058399. The next prime is 42015058427. The reversal of 42015058425 is 52485051024.

42015058425 is a `hidden beast` number, since 4 + 2 + 0 + 1 + 50 + 584 + 25 = 666.

It is not a de Polignac number, because 42015058425 - 212 = 42015054329 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 42015058425.

It is not an unprimeable number, because it can be changed into a prime (42015058427) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 15799746 + ... + 15802404.

Almost surely, 242015058425 is an apocalyptic number.

42015058425 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42015058425 is a deficient number, since it is larger than the sum of its proper divisors (41018863175).

42015058425 is an equidigital number, since it uses as much as digits as its factorization.

42015058425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2724 (or 2684 counting only the distinct ones).

The product of its (nonzero) digits is 64000, while the sum is 36.

The spelling of 42015058425 in words is "forty-two billion, fifteen million, fifty-eight thousand, four hundred twenty-five".

Divisors: 1 3 5 9 15 17 25 27 45 51 75 81 85 135 153 225 243 255 289 405 425 459 675 729 765 867 1215 1275 1377 1445 2025 2187 2295 2601 2659 3645 3825 4131 4335 6075 6885 7225 7803 7977 10935 11475 12393 13005 13295 18225 20655 21675 23409 23931 34425 37179 39015 39885 45203 54675 61965 65025 66475 70227 71793 103275 117045 119655 135609 185895 195075 199425 210681 215379 226015 309825 351135 358965 406827 585225 598275 632043 646137 678045 768451 929475 1053405 1076895 1130075 1220481 1755675 1794825 1938411 2034135 2305353 3160215 3230685 3390225 3661443 3842255 5267025 5384475 5815233 6102405 6916059 9692055 10170675 10984329 11526765 15801075 16153425 18307215 19211275 20748177 29076165 30512025 32952987 34580295 48460275 54921645 57633825 62244531 91536075 98858961 103740885 145380825 164764935 172901475 186733593 274608225 311222655 494294805 518704425 560200779 823824675 933667965 1556113275 1680602337 2471474025 2801003895 4668339825 8403011685 14005019475 42015058425