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12709799280 = 2432564127539
BaseRepresentation
bin10111101011001000…
…00010010101110000
31012210202201200220200
423311210002111300
5202012202034110
65501103035200
7626650340253
oct136544022560
935722650820
1012709799280
115432394352
12256859bb00
1312772252b9
14887dc709a
154e5c2b6c0
hex2f5902570

12709799280 has 120 divisors (see below), whose sum is σ = 42751884240. Its totient is φ = 3383869440.

The previous prime is 12709799269. The next prime is 12709799281. The reversal of 12709799280 is 8299790721.

12709799280 is a `hidden beast` number, since 1 + 270 + 9 + 7 + 99 + 280 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12709799281) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 447751 + ... + 475289.

It is an arithmetic number, because the mean of its divisors is an integer number (356265702).

Almost surely, 212709799280 is an apocalyptic number.

12709799280 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 12709799280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21375942120).

12709799280 is an abundant number, since it is smaller than the sum of its proper divisors (30042084960).

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

12709799280 is a wasteful number, since it uses less digits than its factorization.

12709799280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28199 (or 28190 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 54.

The spelling of 12709799280 in words is "twelve billion, seven hundred nine million, seven hundred ninety-nine thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 641 720 1282 1923 2564 3205 3846 5128 5769 6410 7692 9615 10256 11538 12820 15384 19230 23076 25640 27539 28845 30768 38460 46152 51280 55078 57690 76920 82617 92304 110156 115380 137695 153840 165234 220312 230760 247851 275390 330468 413085 440624 461520 495702 550780 660936 826170 991404 1101560 1239255 1321872 1652340 1982808 2203120 2478510 3304680 3965616 4957020 6609360 9914040 17652499 19828080 35304998 52957497 70609996 88262495 105914994 141219992 158872491 176524990 211829988 264787485 282439984 317744982 353049980 423659976 529574970 635489964 706099960 794362455 847319952 1059149940 1270979928 1412199920 1588724910 2118299880 2541959856 3177449820 4236599760 6354899640 12709799280