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24204531024 = 2433397141131
BaseRepresentation
bin10110100010101100…
…111101010101010000
32022110212002120112000
4112202230331111100
5344032324443044
615041443034000
71514545055562
oct264254752520
968425076460
1024204531024
11a2a0910453
12483606b900
1323897abb0b
14125887b332
15969e42d69
hex5a2b3d550

24204531024 has 80 divisors (see below), whose sum is σ = 69651464640. Its totient is φ = 8047797120.

The previous prime is 24204531017. The next prime is 24204531049. The reversal of 24204531024 is 42013540242.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 100939 + ... + 242069.

It is an arithmetic number, because the mean of its divisors is an integer number (870643308).

Almost surely, 224204531024 is an apocalyptic number.

24204531024 is a gapful number since it is divisible by the number (24) 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 24204531024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34825732320).

24204531024 is an abundant number, since it is smaller than the sum of its proper divisors (45446933616).

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

24204531024 is a wasteful number, since it uses less digits than its factorization.

24204531024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141545 (or 141533 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The spelling of 24204531024 in words is "twenty-four billion, two hundred four million, five hundred thirty-one thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 397 432 794 1191 1588 2382 3176 3573 4764 6352 7146 9528 10719 14292 19056 21438 28584 42876 57168 85752 141131 171504 282262 423393 564524 846786 1129048 1270179 1693572 2258096 2540358 3387144 3810537 5080716 6774288 7621074 10161432 15242148 20322864 30484296 56029007 60968592 112058014 168087021 224116028 336174042 448232056 504261063 672348084 896464112 1008522126 1344696168 1512783189 2017044252 2689392336 3025566378 4034088504 6051132756 8068177008 12102265512 24204531024