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24330801068 = 22723199189853
BaseRepresentation
bin10110101010001110…
…101000111110101100
32022210122200202110022
4112222032220332230
5344312141113233
615102153301312
71520640253040
oct265216507654
968718622408
1024330801068
11a356114a62
124870404838
1323a99bc912
14126b54a020
15976086398
hex5aa3a8fac

24330801068 has 48 divisors (see below), whose sum is σ = 51032755200. Its totient is φ = 9923943744.

The previous prime is 24330801041. The next prime is 24330801073. The reversal of 24330801068 is 86010803342.

It is a happy number.

It is a super-3 number, since 3×243308010683 (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 15 ways as a sum of consecutive naturals, for example, 33230 + ... + 223082.

It is an arithmetic number, because the mean of its divisors is an integer number (1063182400).

Almost surely, 224330801068 is an apocalyptic number.

24330801068 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 24330801068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25516377600).

24330801068 is an abundant number, since it is smaller than the sum of its proper divisors (26701954132).

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

24330801068 is a wasteful number, since it uses less digits than its factorization.

24330801068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190086 (or 190084 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 35.

The spelling of 24330801068 in words is "twenty-four billion, three hundred thirty million, eight hundred one thousand, sixty-eight".

Divisors: 1 2 4 7 14 23 28 46 92 161 199 322 398 644 796 1393 2786 4577 5572 9154 18308 32039 64078 128156 189853 379706 759412 1328971 2657942 4366619 5315884 8733238 17466476 30566333 37780747 61132666 75561494 122265332 151122988 264465229 528930458 868957181 1057860916 1737914362 3475828724 6082700267 12165400534 24330801068