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24330681088 = 28728323369
BaseRepresentation
bin10110101010001110…
…001011101100000000
32022210122110122212121
4112222032023230000
5344312123243323
615102150534024
71520636243200
oct265216135400
968718418777
1024330681088
11a3560428aa
124870367314
1323a997a11c
14126b518400
15976060a5d
hex5aa38bb00

24330681088 has 108 divisors (see below), whose sum is σ = 57178631160. Its totient is φ = 10301362176.

The previous prime is 24330681083. The next prime is 24330681139. The reversal of 24330681088 is 88018603342.

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (24330681083) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1029468 + ... + 1052836.

It is an arithmetic number, because the mean of its divisors is an integer number (529431770).

Almost surely, 224330681088 is an apocalyptic number.

24330681088 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 24330681088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28589315580).

24330681088 is an abundant number, since it is smaller than the sum of its proper divisors (32847950072).

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

24330681088 is an equidigital number, since it uses as much as digits as its factorization.

24330681088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23482 (or 23461 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 43.

The spelling of 24330681088 in words is "twenty-four billion, three hundred thirty million, six hundred eighty-one thousand, eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 83 98 112 128 166 196 224 256 332 392 448 581 664 784 896 1162 1328 1568 1792 2324 2656 3136 4067 4648 5312 6272 8134 9296 10624 12544 16268 18592 21248 23369 32536 37184 46738 65072 74368 93476 130144 148736 163583 186952 260288 327166 373904 520576 654332 747808 1041152 1145081 1308664 1495616 1939627 2290162 2617328 2991232 3879254 4580324 5234656 5982464 7758508 9160648 10469312 13577389 15517016 18321296 20938624 27154778 31034032 36642592 41877248 54309556 62068064 73285184 95041723 108619112 124136128 146570368 190083446 217238224 248272256 293140736 380166892 434476448 496544512 760333784 868952896 1520667568 1737905792 3041335136 3475811584 6082670272 12165340544 24330681088