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12738212243880 = 2335227727643231
BaseRepresentation
bin1011100101011101100010…
…0111011010100110101000
31200002202112220122121200020
42321113120213122212220
53132200324313301010
643031504240240440
72453206526365614
oct271273047324650
950082486577606
1012738212243880
1140712777aa942
121518901610120
13715292718006
14320765c84344
1517153ba74470
hexb95d89da9a8

12738212243880 has 128 divisors (see below), whose sum is σ = 38435839303680. Its totient is φ = 3377235375360.

The previous prime is 12738212243863. The next prime is 12738212243903. The reversal of 12738212243880 is 8834221283721.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19481865 + ... + 20125095.

It is an arithmetic number, because the mean of its divisors is an integer number (300279994560).

Almost surely, 212738212243880 is an apocalyptic number.

12738212243880 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 12738212243880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19217919651840).

12738212243880 is an abundant number, since it is smaller than the sum of its proper divisors (25697627059800).

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

12738212243880 is a wasteful number, since it uses less digits than its factorization.

12738212243880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644199 (or 644195 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 51.

The spelling of 12738212243880 in words is "twelve trillion, seven hundred thirty-eight billion, two hundred twelve million, two hundred forty-three thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 227 454 681 727 908 1135 1362 1454 1816 2181 2270 2724 2908 3405 3635 4362 4540 5448 5816 6810 7270 8724 9080 10905 13620 14540 17448 21810 27240 29080 43620 87240 165029 330058 495087 643231 660116 825145 990174 1286462 1320232 1650290 1929693 1980348 2475435 2572924 3216155 3300580 3859386 3960696 4950870 5145848 6432310 6601160 7718772 9648465 9901740 12864620 15437544 19296930 19803480 25729240 38593860 77187720 146013437 292026874 438040311 467628937 584053748 730067185 876080622 935257874 1168107496 1402886811 1460134370 1752161244 1870515748 2190201555 2338144685 2805773622 2920268740 3504322488 3741031496 4380403110 4676289370 5611547244 5840537480 7014434055 8760806220 9352578740 11223094488 14028868110 17521612440 18705157480 28057736220 56115472440 106151768699 212303537398 318455306097 424607074796 530758843495 636910612194 849214149592 1061517686990 1273821224388 1592276530485 2123035373980 2547642448776 3184553060970 4246070747960 6369106121940 12738212243880