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12856336640 = 285710391381
BaseRepresentation
bin10111111100100110…
…00010000100000000
31020011222110120101022
423332103002010000
5202312210233030
65523415525012
7633410026010
oct137623020400
936158416338
1012856336640
1154a8081004
1225a9689768
13129b6b10b4
1489d64dc40
15503a24de5
hex2fe4c2100

12856336640 has 144 divisors (see below), whose sum is σ = 35253603840. Its totient is φ = 4400455680.

The previous prime is 12856336621. The next prime is 12856336651. The reversal of 12856336640 is 4663365821.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 12856336591 and 12856336600.

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, 9308750 + ... + 9310130.

Almost surely, 212856336640 is an apocalyptic number.

12856336640 is a gapful number since it is divisible by the number (10) 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 12856336640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17626801920).

12856336640 is an abundant number, since it is smaller than the sum of its proper divisors (22397267200).

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

12856336640 is a wasteful number, since it uses less digits than its factorization.

12856336640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2448 (or 2434 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 44.

The spelling of 12856336640 in words is "twelve billion, eight hundred fifty-six million, three hundred thirty-six thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 448 560 640 896 1039 1120 1280 1381 1792 2078 2240 2762 4156 4480 5195 5524 6905 7273 8312 8960 9667 10390 11048 13810 14546 16624 19334 20780 22096 27620 29092 33248 36365 38668 41560 44192 48335 55240 58184 66496 72730 77336 83120 88384 96670 110480 116368 132992 145460 154672 166240 176768 193340 220960 232736 265984 290920 309344 332480 353536 386680 441920 465472 581840 618688 664960 773360 883840 930944 1163680 1237376 1329920 1434859 1546720 1767680 1861888 2327360 2474752 2869718 3093440 4654720 5739436 6186880 7174295 9309440 10044013 11478872 12373760 14348590 20088026 22957744 28697180 40176052 45915488 50220065 57394360 80352104 91830976 100440130 114788720 160704208 183661952 200880260 229577440 321408416 367323904 401760520 459154880 642816832 803521040 918309760 1285633664 1607042080 1836619520 2571267328 3214084160 6428168320 12856336640