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21230818539600 = 24352171040726399
BaseRepresentation
bin1001101001111001011110…
…11001011011100001010000
32210011122110020200122020210
410310330233121123201100
510240321204021231400
6113053145311004120
74320606322004415
oct464745731334120
983148406618223
1021230818539600
116845a3764106a
12246a812209640
13bb0099708197
145358117c410c
1526c3e0485950
hex134f2f65b850

21230818539600 has 120 divisors (see below), whose sum is σ = 72009941068800. Its totient is φ = 5328519157760.

The previous prime is 21230818539571. The next prime is 21230818539631. The reversal of 21230818539600 is 693581803212.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-5 number, since 5×212308185396005 (a number of 68 digits) contains 55555 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 21230818539600.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 520342800 + ... + 520383599.

It is an arithmetic number, because the mean of its divisors is an integer number (600082842240).

Almost surely, 221230818539600 is an apocalyptic number.

21230818539600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21230818539600 is an abundant number, since it is smaller than the sum of its proper divisors (50779122529200).

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

21230818539600 is a wasteful number, since it uses less digits than its factorization.

21230818539600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1040726437 (or 1040726426 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 48.

The spelling of 21230818539600 in words is "twenty-one trillion, two hundred thirty billion, eight hundred eighteen million, five hundred thirty-nine thousand, six hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 25 30 34 40 48 50 51 60 68 75 80 85 100 102 120 136 150 170 200 204 240 255 272 300 340 400 408 425 510 600 680 816 850 1020 1200 1275 1360 1700 2040 2550 3400 4080 5100 6800 10200 20400 1040726399 2081452798 3122179197 4162905596 5203631995 6244358394 8325811192 10407263990 12488716788 15610895985 16651622384 17692348783 20814527980 24977433576 26018159975 31221791970 35384697566 41629055960 49954867152 52036319950 53077046349 62443583940 70769395132 78054479925 83258111920 88461743915 104072639900 106154092698 124887167880 141538790264 156108959850 176923487830 208145279800 212308185396 249774335760 265385231745 283077580528 312217919700 353846975660 416290559600 424616370792 442308719575 530770463490 624435839400 707693951320 849232741584 884617439150 1061540926980 1248871678800 1326926158725 1415387902640 1769234878300 2123081853960 2653852317450 3538469756600 4246163707920 5307704634900 7076939513200 10615409269800 21230818539600