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12656740560 = 2435193837247
BaseRepresentation
bin10111100100110011…
…01000100011010000
31012200001220001000220
423302121220203100
5201410111144220
65451525513040
7625434343152
oct136231504320
935601801026
1012656740560
115405444572
122552872780
1312692388c9
14880d34ad2
154e124a540
hex2f26688d0

12656740560 has 160 divisors (see below), whose sum is σ = 41414492160. Its totient is φ = 3188703744.

The previous prime is 12656740559. The next prime is 12656740583. The reversal of 12656740560 is 6504765621.

It is a super-2 number, since 2×126567405602 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1742857 + ... + 1750103.

It is an arithmetic number, because the mean of its divisors is an integer number (258840576).

Almost surely, 212656740560 is an apocalyptic number.

12656740560 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 12656740560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20707246080).

12656740560 is an abundant number, since it is smaller than the sum of its proper divisors (28757751600).

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

12656740560 is a wasteful number, since it uses less digits than its factorization.

12656740560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7665 (or 7659 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 42.

The spelling of 12656740560 in words is "twelve billion, six hundred fifty-six million, seven hundred forty thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 48 57 60 76 80 95 114 120 152 190 228 240 285 304 380 383 456 570 760 766 912 1140 1149 1520 1532 1915 2280 2298 3064 3830 4560 4596 5745 6128 7247 7277 7660 9192 11490 14494 14554 15320 18384 21741 21831 22980 28988 29108 30640 36235 36385 43482 43662 45960 57976 58216 72470 72770 86964 87324 91920 108705 109155 115952 116432 137693 144940 145540 173928 174648 217410 218310 275386 289880 291080 347856 349296 413079 434820 436620 550772 579760 582160 688465 826158 869640 873240 1101544 1376930 1652316 1739280 1746480 2065395 2203088 2753860 2775601 3304632 4130790 5507720 5551202 6609264 8261580 8326803 11015440 11102404 13878005 16523160 16653606 22204808 27756010 33046320 33307212 41634015 44409616 52736419 55512020 66614424 83268030 105472838 111024040 133228848 158209257 166536060 210945676 222048080 263682095 316418514 333072120 421891352 527364190 632837028 666144240 791046285 843782704 1054728380 1265674056 1582092570 2109456760 2531348112 3164185140 4218913520 6328370280 12656740560