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42466905888 = 2531140214873
BaseRepresentation
bin100111100011001110…
…011000111100100000
311001121120222100012020
4213203032120330200
51143433011442023
631301541101440
73032240513151
oct474316307440
9131546870166
1042466905888
1117012508a40
1282920b7880
13400a1955a4
1420ac085928
151188376de3
hex9e3398f20

42466905888 has 48 divisors (see below), whose sum is σ = 121609778976. Its totient is φ = 12868759040.

The previous prime is 42466905857. The next prime is 42466905893. The reversal of 42466905888 is 88850966424.

It is a tau number, because it is divible by the number of its divisors (48).

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 7 ways as a sum of consecutive naturals, for example, 20106381 + ... + 20108492.

It is an arithmetic number, because the mean of its divisors is an integer number (2533537062).

Almost surely, 242466905888 is an apocalyptic number.

42466905888 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

42466905888 is an abundant number, since it is smaller than the sum of its proper divisors (79142873088).

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

42466905888 is a wasteful number, since it uses less digits than its factorization.

42466905888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40214897 (or 40214889 counting only the distinct ones).

The product of its (nonzero) digits is 26542080, while the sum is 60.

The spelling of 42466905888 in words is "forty-two billion, four hundred sixty-six million, nine hundred five thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 40214873 80429746 120644619 160859492 241289238 321718984 442363603 482578476 643437968 884727206 965156952 1286875936 1327090809 1769454412 1930313904 2654181618 3538908824 3860627808 5308363236 7077817648 10616726472 14155635296 21233452944 42466905888