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12914226887769 = 34227217592
BaseRepresentation
bin1011101111101101001111…
…1001111111110001011001
31200201120212200020222010000
42323323103321333301121
53143041314040402034
643244414113043213
72502010403232654
oct273732371776131
950646780228100
1012914226887769
11412999044aa89
121546a44556509
13728a6379737c
143290a265c89b
15175dde44b599
hexbbed3e7fc59

12914226887769 has 45 divisors (see below), whose sum is σ = 19388004559077. Its totient is φ = 8566684375176.

The previous prime is 12914226887741. The next prime is 12914226887777. The reversal of 12914226887769 is 96778862241921.

It is a happy number.

The square root of 12914226887769 is 3593637.

It is a perfect power (a square), and thus also a powerful number.

12914226887769 is a `hidden beast` number, since 1 + 2 + 9 + 1 + 422 + 68 + 87 + 7 + 69 = 666.

It is not a de Polignac number, because 12914226887769 - 219 = 12914226363481 is a prime.

It is a super-2 number, since 2×129142268877692 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12914226887697 and 12914226887706.

It is not an unprimeable number, because it can be changed into a prime (12914226887729) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 7341799512 + ... + 7341801270.

Almost surely, 212914226887769 is an apocalyptic number.

12914226887769 is the 3593637-th square number.

12914226887769 is the 1796819-th centered octagonal number.

It is an amenable number.

12914226887769 is a deficient number, since it is larger than the sum of its proper divisors (6473777671308).

12914226887769 is an frugal number, since it uses more digits than its factorization.

12914226887769 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3984 (or 1989 counting only the distinct ones).

The product of its digits is 292626432, while the sum is 72.

The spelling of 12914226887769 in words is "twelve trillion, nine hundred fourteen billion, two hundred twenty-six million, eight hundred eighty-seven thousand, seven hundred sixty-nine".

Divisors: 1 3 9 27 81 227 681 1759 2043 5277 6129 15831 18387 47493 51529 142479 154587 399293 463761 1197879 1391283 3094081 3593637 4173849 9282243 10780911 27846729 32342733 83540187 90639511 250620561 271918533 702356387 815755599 2107069161 2447266797 6321207483 7341800391 18963622449 56890867347 159434899849 478304699547 1434914098641 4304742295923 12914226887769