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21535232304 = 24323471812293
BaseRepresentation
bin10100000011100110…
…011001000100110000
32001120211100011001110
4110003212121010300
5323101004413204
613520530433320
71361443311555
oct240346310460
961524304043
1021535232304
119151093853
124210132840
132052784611
14108415aa2c
15860924889
hex503999130

21535232304 has 160 divisors (see below), whose sum is σ = 59640182784. Its totient is φ = 6680171520.

The previous prime is 21535232297. The next prime is 21535232309. The reversal of 21535232304 is 40323253512.

It is not an unprimeable number, because it can be changed into a prime (21535232309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9390582 + ... + 9392874.

Almost surely, 221535232304 is an apocalyptic number.

21535232304 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 21535232304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29820091392).

21535232304 is an abundant number, since it is smaller than the sum of its proper divisors (38104950480).

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

21535232304 is a wasteful number, since it uses less digits than its factorization.

21535232304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2555 (or 2549 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

Adding to 21535232304 its reverse (40323253512), we get a palindrome (61858485816).

The spelling of 21535232304 in words is "twenty-one billion, five hundred thirty-five million, two hundred thirty-two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 47 48 69 92 94 138 141 181 184 188 276 282 362 368 376 543 552 564 724 752 1081 1086 1104 1128 1448 2162 2172 2256 2293 2896 3243 4163 4324 4344 4586 6486 6879 8326 8507 8648 8688 9172 12489 12972 13758 16652 17014 17296 18344 24978 25521 25944 27516 33304 34028 36688 49956 51042 51888 52739 55032 66608 68056 99912 102084 105478 107771 110064 136112 158217 195661 199824 204168 210956 215542 316434 323313 391322 408336 415033 421912 431084 586983 632868 646626 782644 830066 843824 862168 1173966 1245099 1265736 1293252 1565288 1660132 1724336 2347932 2478733 2490198 2531472 2586504 3130576 3320264 4695864 4957466 4980396 5173008 6640528 7436199 9391728 9545759 9914932 9960792 14872398 19091518 19506551 19829864 19921584 28637277 29744796 38183036 39013102 39659728 57274554 58519653 59489592 76366072 78026204 114549108 117039306 118979184 152732144 156052408 229098216 234078612 312104816 448650673 458196432 468157224 897301346 936314448 1345952019 1794602692 2691904038 3589205384 5383808076 7178410768 10767616152 21535232304