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21199780224 = 273272375563
BaseRepresentation
bin10011101111100110…
…101111100110000000
32000201110010102022100
4103233212233212000
5321404120431344
613423344510400
71350231105300
oct235746574600
960643112270
1021199780224
118a997a5727
12413791b400
131ccb12306c
141051799600
15841261569
hex4ef9af980

21199780224 has 144 divisors (see below), whose sum is σ = 70964695620. Its totient is φ = 6057063936.

The previous prime is 21199780219. The next prime is 21199780279. The reversal of 21199780224 is 42208799112.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 21199780224.

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 17 ways as a sum of consecutive naturals, for example, 131334 + ... + 244229.

Almost surely, 221199780224 is an apocalyptic number.

21199780224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

21199780224 is an abundant number, since it is smaller than the sum of its proper divisors (49764915396).

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

21199780224 is a wasteful number, since it uses less digits than its factorization.

21199780224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375597 (or 375575 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 21199780224 in words is "twenty-one billion, one hundred ninety-nine million, seven hundred eighty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 64 72 84 96 98 112 126 128 144 147 168 192 196 224 252 288 294 336 384 392 441 448 504 576 588 672 784 882 896 1008 1152 1176 1344 1568 1764 2016 2352 2688 3136 3528 4032 4704 6272 7056 8064 9408 14112 18816 28224 56448 375563 751126 1126689 1502252 2253378 2628941 3004504 3380067 4506756 5257882 6009008 6760134 7886823 9013512 10515764 12018016 13520268 15773646 18027024 18402587 21031528 23660469 24036032 27040536 31547292 36054048 36805174 42063056 47320938 48072064 54081072 55207761 63094584 72108096 73610348 84126112 94641876 108162144 110415522 126189168 144216192 147220696 165623283 168252224 189283752 216324288 220831044 252378336 294441392 331246566 336504448 378567504 432648576 441662088 504756672 588882784 662493132 757135008 883324176 1009513344 1177765568 1324986264 1514270016 1766648352 2355531136 2649972528 3028540032 3533296704 5299945056 7066593408 10599890112 21199780224