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422245103385585 = 352341499247724151
BaseRepresentation
bin110000000000001111001100…
…1011001010011101111110001
32001101001020102020211112200110
41200000132121121103233301
5420321030432431314320
64054012420030211533
7154640126200610304
oct14000363131235761
92041036366745613
10422245103385585
111125a4162a54897
123b435b1a953ba9
131517b70885394c
14763aab46d8b3b
1533c386de775e0
hex1800799653bf1

422245103385585 has 128 divisors (see below), whose sum is σ = 723929342976000. Its totient is φ = 209637888768000.

The previous prime is 422245103385467. The next prime is 422245103385587. The reversal of 422245103385585 is 585583301542224.

It is a happy number.

It is not a de Polignac number, because 422245103385585 - 212 = 422245103381489 is a prime.

It is not an unprimeable number, because it can be changed into a prime (422245103385587) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 17483533260 + ... + 17483557410.

It is an arithmetic number, because the mean of its divisors is an integer number (5655697992000).

Almost surely, 2422245103385585 is an apocalyptic number.

It is an amenable number.

422245103385585 is a deficient number, since it is larger than the sum of its proper divisors (301684239590415).

422245103385585 is a wasteful number, since it uses less digits than its factorization.

422245103385585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27199.

The product of its (nonzero) digits is 46080000, while the sum is 57.

The spelling of 422245103385585 in words is "four hundred twenty-two trillion, two hundred forty-five billion, one hundred three million, three hundred eighty-five thousand, five hundred eighty-five".

Divisors: 1 3 5 15 23 41 69 115 123 205 345 499 615 943 1497 2477 2495 2829 4715 7431 7485 11477 12385 14145 20459 24151 34431 37155 56971 57385 61377 72453 101557 102295 120755 170913 172155 284855 304671 306885 362265 470557 507785 555473 854565 990191 1236023 1411671 1523355 1666419 2335811 2352785 2777365 2970573 3708069 4950955 6180115 7007433 7058355 8332095 11679055 12051349 14852865 18540345 22774393 28428529 35037165 36154047 50676943 59822027 60256745 68323179 85285587 113871965 142142645 152030829 179466081 180770235 253384715 277181027 299110135 341615895 426427935 494105309 760154145 831543081 897330405 1165569689 1375906621 1385905135 1482315927 2452703107 2470526545 3496709067 4127719863 4157715405 5827848445 6879533105 7358109321 7411579635 11364422107 12263515535 17483545335 20638599315 29851191473 34093266321 36790546605 56412171461 56822110535 89553574419 149255957365 169236514383 170466331605 282060857305 447767872095 686577403879 846182571915 1223898850393 2059732211637 3432887019395 3671696551179 6119494251965 10298661058185 18358482755895 28149673559039 84449020677117 140748367795195 422245103385585