Search a number
-
+
42122211041564 = 22172329928702069
BaseRepresentation
bin10011001001111010101110…
…11011010010000100011100
312112010211210022102000121022
421210331113123102010130
521010112242011312224
6225330402052023312
711605141441211363
oct1144752733220434
9175124708360538
1042122211041564
111246aa25011255
124883697301b38
131a671521124c4
14a58a23bc47da
154d0a66d4d65e
hex264f576d211c

42122211041564 has 48 divisors (see below), whose sum is σ = 84251851790400. Its totient is φ = 18306575164416.

The previous prime is 42122211041557. The next prime is 42122211041609. The reversal of 42122211041564 is 46514011222124.

It is a happy number.

42122211041564 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 464305679 + ... + 464396390.

It is an arithmetic number, because the mean of its divisors is an integer number (1755246912300).

Almost surely, 242122211041564 is an apocalyptic number.

It is an amenable number.

42122211041564 is an abundant number, since it is smaller than the sum of its proper divisors (42129640748836).

42122211041564 is a wasteful number, since it uses less digits than its factorization.

42122211041564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 928702142 (or 928702140 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 35.

Adding to 42122211041564 its reverse (46514011222124), we get a palindrome (88636222263688).

The spelling of 42122211041564 in words is "forty-two trillion, one hundred twenty-two billion, two hundred eleven million, forty-one thousand, five hundred sixty-four".

Divisors: 1 2 4 17 23 29 34 46 58 68 92 116 391 493 667 782 986 1334 1564 1972 2668 11339 22678 45356 928702069 1857404138 3714808276 15787935173 21360147587 26932360001 31575870346 42720295174 53864720002 63151740692 85440590348 107729440004 363122508979 457850120017 619444280023 726245017958 915700240034 1238888560046 1452490035916 1831400480068 2477777120092 10530552760391 21061105520782 42122211041564