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21480014815416 = 23324122332629721
BaseRepresentation
bin1001110001001001101001…
…01001110010000010111000
32211001110200011110002001200
410320210310221302002320
510303412032243043131
6113403441012014200
74344610535260113
oct470446451620270
984043604402050
1021480014815416
116931694420453
1224aab79601360
13bca73110c021
145438d157b57a
15273b2793e2e6
hex138934a720b8

21480014815416 has 96 divisors (see below), whose sum is σ = 59861182792320. Its totient is φ = 6954045926400.

The previous prime is 21480014815381. The next prime is 21480014815423. The reversal of 21480014815416 is 61451841008412.

21480014815416 is a `hidden beast` number, since 2 + 1 + 4 + 80 + 0 + 148 + 15 + 416 = 666.

It is a super-2 number, since 2×214800148154162 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 15656565 + ... + 16973156.

It is an arithmetic number, because the mean of its divisors is an integer number (623553987420).

Almost surely, 221480014815416 is an apocalyptic number.

It is an amenable number.

21480014815416 is an abundant number, since it is smaller than the sum of its proper divisors (38381167976904).

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

21480014815416 is a wasteful number, since it uses less digits than its factorization.

21480014815416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32629997 (or 32629990 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The spelling of 21480014815416 in words is "twenty-one trillion, four hundred eighty billion, fourteen million, eight hundred fifteen thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 41 72 82 123 164 223 246 328 369 446 492 669 738 892 984 1338 1476 1784 2007 2676 2952 4014 5352 8028 9143 16056 18286 27429 36572 54858 73144 82287 109716 164574 219432 329148 658296 32629721 65259442 97889163 130518884 195778326 261037768 293667489 391556652 587334978 783113304 1174669956 1337818561 2349339912 2675637122 4013455683 5351274244 7276427783 8026911366 10702548488 12040367049 14552855566 16053822732 21829283349 24080734098 29105711132 32107645464 43658566698 48161468196 58211422264 65487850047 87317133396 96322936392 130975700094 174634266792 261951400188 298333539103 523902800376 596667078206 895000617309 1193334156412 1790001234618 2386668312824 2685001851927 3580002469236 5370003703854 7160004938472 10740007407708 21480014815416