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48384138888 = 233486412
BaseRepresentation
bin101101000011111010…
…110101111010001000
311121212222021220220000
4231003322311322020
51243042314421023
634121040003000
73332001252261
oct550372657210
9147788256800
1048384138888
1119579648748
129463900460
1347410726a7
1424adcab968
1513d2ab1243
hexb43eb5e88

48384138888 has 60 divisors (see below), whose sum is σ = 135536074245. Its totient is φ = 16126179840.

The previous prime is 48384138851. The next prime is 48384138931. The reversal of 48384138888 is 88883148384.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

48384138888 is a `hidden beast` number, since 48 + 384 + 138 + 8 + 88 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 32147772804 + 16236366084 = 179298^2 + 127422^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=155538.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 5595048 + ... + 5603688.

Almost surely, 248384138888 is an apocalyptic number.

It is an amenable number.

48384138888 is an abundant number, since it is smaller than the sum of its proper divisors (87151935357).

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

48384138888 is an frugal number, since it uses more digits than its factorization.

48384138888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17300 (or 8646 counting only the distinct ones).

The product of its digits is 37748736, while the sum is 63.

It can be divided in two parts, 483841 and 38888, that added together give a square (522729 = 7232).

The spelling of 48384138888 in words is "forty-eight billion, three hundred eighty-four million, one hundred thirty-eight thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 8641 17282 25923 34564 51846 69128 77769 103692 155538 207384 233307 311076 466614 622152 699921 933228 1399842 1866456 2799684 5599368 74666881 149333762 224000643 298667524 448001286 597335048 672001929 896002572 1344003858 1792005144 2016005787 2688007716 4032011574 5376015432 6048017361 8064023148 12096034722 16128046296 24192069444 48384138888