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12669256320 = 27357942653
BaseRepresentation
bin10111100110010010…
…11000001010000000
31012200221102220102120
423303021120022000
5201421312200240
65453054044240
7625645621230
oct136311301200
935627386376
1012669256320
115411512876
122556aa9680
13126b9cb596
14882871cc0
154e23bdad0
hex2f3258280

12669256320 has 128 divisors (see below), whose sum is σ = 46152339840. Its totient is φ = 2895826944.

The previous prime is 12669256309. The next prime is 12669256339. The reversal of 12669256320 is 2365296621.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×126692563203 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 457887 + ... + 484766.

It is an arithmetic number, because the mean of its divisors is an integer number (360565155).

Almost surely, 212669256320 is an apocalyptic number.

12669256320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12669256320 is an abundant number, since it is smaller than the sum of its proper divisors (33483083520).

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

12669256320 is an equidigital number, since it uses as much as digits as its factorization.

12669256320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 942682 (or 942670 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 42.

The spelling of 12669256320 in words is "twelve billion, six hundred sixty-nine million, two hundred fifty-six thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 128 140 160 168 192 210 224 240 280 320 336 384 420 448 480 560 640 672 840 896 960 1120 1344 1680 1920 2240 2688 3360 4480 6720 13440 942653 1885306 2827959 3770612 4713265 5655918 6598571 7541224 9426530 11311836 13197142 14139795 15082448 18853060 19795713 22623672 26394284 28279590 30164896 32992855 37706120 39591426 45247344 52788568 56559180 60329792 65985710 75412240 79182852 90494688 98978565 105577136 113118360 120659584 131971420 150824480 158365704 180989376 197957130 211154272 226236720 263942840 301648960 316731408 361978752 395914260 422308544 452473440 527885680 603297920 633462816 791828520 844617088 904946880 1055771360 1266925632 1583657040 1809893760 2111542720 2533851264 3167314080 4223085440 6334628160 12669256320