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12740766868720 = 2451138339795219
BaseRepresentation
bin1011100101100111000011…
…1000100010010011110000
31200010000010221122000011001
42321121300320202103300
53132221042304244340
643033005534531344
72453330036343502
oct271316070422360
950100127560131
1012740766868720
114072368823340
1215192b5066b54
137155aba61947
14320929273d72
1517163ae9029a
hexb9670e224f0

12740766868720 has 160 divisors (see below), whose sum is σ = 32481543905280. Its totient is φ = 4609221534720.

The previous prime is 12740766868703. The next prime is 12740766868729. The reversal of 12740766868720 is 2786866704721.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12740766868729) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 133757271 + ... + 133852489.

It is an arithmetic number, because the mean of its divisors is an integer number (203009649408).

Almost surely, 212740766868720 is an apocalyptic number.

12740766868720 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 12740766868720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16240771952640).

12740766868720 is an abundant number, since it is smaller than the sum of its proper divisors (19740777036560).

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

12740766868720 is a wasteful number, since it uses less digits than its factorization.

12740766868720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96023 (or 96017 counting only the distinct ones).

The product of its (nonzero) digits is 75866112, while the sum is 64.

The spelling of 12740766868720 in words is "twelve trillion, seven hundred forty billion, seven hundred sixty-six million, eight hundred sixty-eight thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 383 397 440 766 794 880 1532 1588 1915 1985 3064 3176 3830 3970 4213 4367 6128 6352 7660 7940 8426 8734 15320 15880 16852 17468 21065 21835 30640 31760 33704 34936 42130 43670 67408 69872 84260 87340 95219 152051 168520 174680 190438 304102 337040 349360 380876 476095 608204 760255 761752 952190 1047409 1216408 1520510 1523504 1672561 1904380 2094818 2432816 3041020 3345122 3808760 4189636 5237045 6082040 6690244 7617520 8362805 8379272 10474090 12164080 13380488 16725610 16758544 20948180 26760976 33451220 36468877 37801943 41896360 66902440 72937754 75603886 83792720 133804880 145875508 151207772 182344385 189009715 291751016 302415544 364688770 378019430 401157647 415821373 583502032 604831088 729377540 756038860 802315294 831642746 1458755080 1512077720 1604630588 1663285492 2005788235 2079106865 2917510160 3024155440 3209261176 3326570984 4011576470 4158213730 6418522352 6653141968 8023152940 8316427460 14478144169 16046305880 16632854920 28956288338 32092611760 33265709840 57912576676 72390720845 115825153352 144781441690 159259585859 231650306704 289562883380 318519171718 579125766760 637038343436 796297929295 1158251533520 1274076686872 1592595858590 2548153373744 3185191717180 6370383434360 12740766868720