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9912489216 = 28372380167
BaseRepresentation
bin10010011101101010…
…01001010100000000
3221120211002121220020
421032311021110000
5130300044123331
64315335013440
7500432524320
oct111665112400
927524077806
109912489216
114227383953
121b0780a280
13c1c82a546
146a06a3280
153d0373c96
hex24ed49500

9912489216 has 144 divisors (see below), whose sum is σ = 31461771264. Its totient is φ = 2708969472.

The previous prime is 9912489163. The next prime is 9912489233. The reversal of 9912489216 is 6129842199.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 83565 + ... + 163731.

Almost surely, 29912489216 is an apocalyptic number.

9912489216 is a gapful number since it is divisible by the number (96) 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 9912489216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15730885632).

9912489216 is an abundant number, since it is smaller than the sum of its proper divisors (21549282048).

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

9912489216 is a wasteful number, since it uses less digits than its factorization.

9912489216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80216 (or 80202 counting only the distinct ones).

The product of its digits is 559872, while the sum is 51.

The square root of 9912489216 is about 99561.4846012252. The cubic root of 9912489216 is about 2148.1317259154.

The spelling of 9912489216 in words is "nine billion, nine hundred twelve million, four hundred eighty-nine thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 32 42 46 48 56 64 69 84 92 96 112 128 138 161 168 184 192 224 256 276 322 336 368 384 448 483 552 644 672 736 768 896 966 1104 1288 1344 1472 1792 1932 2208 2576 2688 2944 3864 4416 5152 5376 5888 7728 8832 10304 15456 17664 20608 30912 41216 61824 80167 123648 160334 240501 320668 481002 561169 641336 962004 1122338 1282672 1683507 1843841 1924008 2244676 2565344 3367014 3687682 3848016 4489352 5130688 5531523 6734028 7375364 7696032 8978704 10261376 11063046 12906887 13468056 14750728 15392064 17957408 20522752 22126092 25813774 26936112 29501456 30784128 35914816 38720661 44252184 51627548 53872224 59002912 61568256 71829632 77441322 88504368 103255096 107744448 118005824 143659264 154882644 177008736 206510192 215488896 236011648 309765288 354017472 413020384 430977792 472023296 619530576 708034944 826040768 1239061152 1416069888 1652081536 2478122304 3304163072 4956244608 9912489216