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42282860724 = 22321390347993
BaseRepresentation
bin100111011000010000…
…010100000010110100
311001010202122212200200
4213120100110002310
51143043403020344
631231404240500
73024544246266
oct473020240264
9131122585620
1042282860724
1116a286330a5
128240540130
133cab006420
142091857b36
151177120069
hex9d84140b4

42282860724 has 36 divisors (see below), whose sum is σ = 115103344356. Its totient is φ = 13010110848.

The previous prime is 42282860693. The next prime is 42282860771. The reversal of 42282860724 is 42706828224.

42282860724 is a `hidden beast` number, since 422 + 82 + 86 + 0 + 72 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 14839625124 + 27443235600 = 121818^2 + 165660^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×422828607242 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 42282860724.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45173529 + ... + 45174464.

It is an arithmetic number, because the mean of its divisors is an integer number (3197315121).

Almost surely, 242282860724 is an apocalyptic number.

It is an amenable number.

42282860724 is an abundant number, since it is smaller than the sum of its proper divisors (72820483632).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42282860724 is a wasteful number, since it uses less digits than its factorization.

42282860724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90348016 (or 90348011 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 45.

The spelling of 42282860724 in words is "forty-two billion, two hundred eighty-two million, eight hundred sixty thousand, seven hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 90347993 180695986 271043979 361391972 542087958 813131937 1084175916 1174523909 1626263874 2349047818 3252527748 3523571727 4698095636 7047143454 10570715181 14094286908 21141430362 42282860724