Search a number
-
+
12189373441063 = 7213312087329573
BaseRepresentation
bin1011000101100000111101…
…0001100010010000100111
31121011021220101121122212221
42301120033101202100213
53044202314100103223
641531415412053211
72365440015501100
oct261301721422047
947137811548787
1012189373441063
11397a536592a95
12144a470604207
136a55b7287060
14301d7c63d3a7
151621184beb5d
hexb160f462427

12189373441063 has 48 divisors (see below), whose sum is σ = 15764079534336. Its totient is φ = 9332468974080.

The previous prime is 12189373441033. The next prime is 12189373441087. The reversal of 12189373441063 is 36014437398121.

It is not a de Polignac number, because 12189373441063 - 25 = 12189373441031 is a prime.

It is a super-3 number, since 3×121893734410633 (a number of 40 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12189373441063.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12189373441033) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 412164345 + ... + 412193917.

It is an arithmetic number, because the mean of its divisors is an integer number (328418323632).

Almost surely, 212189373441063 is an apocalyptic number.

12189373441063 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

12189373441063 is a deficient number, since it is larger than the sum of its proper divisors (3574706093273).

12189373441063 is a wasteful number, since it uses less digits than its factorization.

12189373441063 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50504 (or 50497 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 52.

The spelling of 12189373441063 in words is "twelve trillion, one hundred eighty-nine billion, three hundred seventy-three million, four hundred forty-one thousand, sixty-three".

Divisors: 1 7 13 31 49 91 217 403 637 1519 2821 19747 20873 29573 146111 207011 271349 384449 647063 916763 1022777 1449077 1899443 2691143 4529441 6417341 8411819 11917919 13296101 18838001 31706087 44921387 58882733 83425433 412179131 583978031 617277229 4320940603 8024603977 19135594099 30246584221 56172227839 133949158693 248762723287 393205594873 937644110851 1741339063009 12189373441063