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14821991424 = 210322835683
BaseRepresentation
bin11011100110111010…
…11010010000000000
31102020222012011211100
431303131122100000
5220323412211144
610450434414400
71033205563662
oct156335322000
942228164740
1014821991424
11631669a599
122a57a31400
1315229c1736
14a08728532
155bb3a1269
hex37375a400

14821991424 has 132 divisors (see below), whose sum is σ = 42956966416. Its totient is φ = 4922339328.

The previous prime is 14821991417. The next prime is 14821991441. The reversal of 14821991424 is 42419912841.

14821991424 is a `hidden beast` number, since 1 + 4 + 8 + 219 + 9 + 1 + 424 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 14821991424.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2605287 + ... + 2610969.

Almost surely, 214821991424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14821991424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21478483208).

14821991424 is an abundant number, since it is smaller than the sum of its proper divisors (28134974992).

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

14821991424 is a wasteful number, since it uses less digits than its factorization.

14821991424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5992 (or 5971 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The spelling of 14821991424 in words is "fourteen billion, eight hundred twenty-one million, nine hundred ninety-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 283 288 384 512 566 576 768 849 1024 1132 1152 1536 1698 2264 2304 2547 3072 3396 4528 4608 5094 5683 6792 9056 9216 10188 11366 13584 17049 18112 20376 22732 27168 34098 36224 40752 45464 51147 54336 68196 72448 81504 90928 102294 108672 136392 144896 163008 181856 204588 217344 272784 289792 326016 363712 409176 434688 545568 652032 727424 818352 869376 1091136 1304064 1454848 1608289 1636704 2182272 2608128 2909696 3216578 3273408 4364544 4824867 5819392 6433156 6546816 8729088 9649734 12866312 13093632 14474601 17458176 19299468 25732624 26187264 28949202 38598936 51465248 52374528 57898404 77197872 102930496 115796808 154395744 205860992 231593616 308791488 411721984 463187232 617582976 823443968 926374464 1235165952 1646887936 1852748928 2470331904 3705497856 4940663808 7410995712 14821991424