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12543703336960 = 21159971228657
BaseRepresentation
bin1011011010001000111011…
…1110110100100000000000
31122102011111020211100210121
42312202032332310200000
53121004001023240320
642402255303310024
72433152443065415
oct266421676644000
948364436740717
1012543703336960
113aa683357a1a4
1214a7078a4b314
136ccb34c11653
1431519317c10c
1516b4557108aa
hexb688efb4800

12543703336960 has 96 divisors (see below), whose sum is σ = 30127750805880. Its totient is φ = 5012444676096.

The previous prime is 12543703336939. The next prime is 12543703337029. The reversal of 12543703336960 is 6963330734521.

It can be written as a sum of positive squares in 4 ways, for example, as 10640539616256 + 1903163720704 = 3261984^2 + 1379552^2 .

It is a super-3 number, since 3×125437033369603 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 12543703336898 and 12543703336907.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9594952 + ... + 10823608.

Almost surely, 212543703336960 is an apocalyptic number.

12543703336960 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 12543703336960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15063875402940).

12543703336960 is an abundant number, since it is smaller than the sum of its proper divisors (17584047468920).

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

12543703336960 is an equidigital number, since it uses as much as digits as its factorization.

12543703336960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1229681 (or 1229661 counting only the distinct ones).

The product of its (nonzero) digits is 7348320, while the sum is 52.

The spelling of 12543703336960 in words is "twelve trillion, five hundred forty-three billion, seven hundred three million, three hundred thirty-six thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 997 1024 1280 1994 2048 2560 3988 4985 5120 7976 9970 10240 15952 19940 31904 39880 63808 79760 127616 159520 255232 319040 510464 638080 1020928 1228657 1276160 2041856 2457314 2552320 4914628 5104640 6143285 9829256 10209280 12286570 19658512 24573140 39317024 49146280 78634048 98292560 157268096 196585120 314536192 393170240 629072384 786340480 1224971029 1258144768 1572680960 2449942058 2516289536 3145361920 4899884116 6124855145 6290723840 9799768232 12249710290 12581447680 19599536464 24499420580 39199072928 48998841160 78398145856 97997682320 156796291712 195995364640 313592583424 391990729280 627185166848 783981458560 1254370333696 1567962917120 2508740667392 3135925834240 6271851668480 12543703336960