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42584087112 = 23371791416071
BaseRepresentation
bin100111101010001101…
…011001101001001000
311001220202110202121120
4213222031121221020
51144203011241422
631321324435240
73035162524320
oct475215315110
9131822422546
1042584087112
1117072674a26
1283053a8b20
1340285434a8
1420bd86a280
1511937c245c
hex9ea359a48

42584087112 has 64 divisors (see below), whose sum is σ = 122348620800. Its totient is φ = 12098902080.

The previous prime is 42584087087. The next prime is 42584087167. The reversal of 42584087112 is 21178048524.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 677964 + ... + 738107.

It is an arithmetic number, because the mean of its divisors is an integer number (1911697200).

Almost surely, 242584087112 is an apocalyptic number.

42584087112 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

42584087112 is an abundant number, since it is smaller than the sum of its proper divisors (79764533688).

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

42584087112 is a wasteful number, since it uses less digits than its factorization.

42584087112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1416266 (or 1416262 counting only the distinct ones).

The product of its (nonzero) digits is 143360, while the sum is 42.

The spelling of 42584087112 in words is "forty-two billion, five hundred eighty-four million, eighty-seven thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 179 358 537 716 1074 1253 1432 2148 2506 3759 4296 5012 7518 10024 15036 30072 1416071 2832142 4248213 5664284 8496426 9912497 11328568 16992852 19824994 29737491 33985704 39649988 59474982 79299976 118949964 237899928 253476709 506953418 760430127 1013906836 1520860254 1774336963 2027813672 3041720508 3548673926 5323010889 6083441016 7097347852 10646021778 14194695704 21292043556 42584087112