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16459484306841 = 34353212772
BaseRepresentation
bin1110111110000100010110…
…1101110001110110011001
32011021111210202120001110000
43233201011231301312121
54124133010440304331
655001214355243213
73316105236126552
oct357410555616631
964244722501400
1016459484306841
11527647887aa34
121a19b5bba9509
13925179795744
1440c901295329
151d8237b0e0e6
hexef845b71d99

16459484306841 has 45 divisors (see below), whose sum is σ = 24676799379661. Its totient is φ = 10933336136448.

The previous prime is 16459484306779. The next prime is 16459484306849. The reversal of 16459484306841 is 14860348495461.

The square root of 16459484306841 is 4057029.

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

16459484306841 is a `hidden beast` number, since 1 + 6 + 4 + 59 + 484 + 3 + 0 + 68 + 41 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 70103682441 + 16389380624400 = 264771^2 + 4048380^2 .

It is not a de Polignac number, because 16459484306841 - 227 = 16459350089113 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (16459484306849) 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, 12889180495 + ... + 12889181771.

Almost surely, 216459484306841 is an apocalyptic number.

16459484306841 is the 4057029-th square number.

16459484306841 is the 2028515-th centered octagonal number.

It is an amenable number.

16459484306841 is a deficient number, since it is larger than the sum of its proper divisors (8217315072820).

16459484306841 is an frugal number, since it uses more digits than its factorization.

16459484306841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3272 (or 1633 counting only the distinct ones).

The product of its (nonzero) digits is 79626240, while the sum is 63.

The spelling of 16459484306841 in words is "sixteen trillion, four hundred fifty-nine billion, four hundred eighty-four million, three hundred six thousand, eight hundred forty-one".

Divisors: 1 3 9 27 81 353 1059 1277 3177 3831 9531 11493 28593 34479 103437 124609 373827 450781 1121481 1352343 1630729 3364443 4057029 4892187 10093329 12171087 14676561 36513261 44029683 132089049 159125693 477377079 575647337 1432131237 1726942011 4296393711 5180826033 12889181133 15542478099 46627434297 203203509961 609610529883 1828831589649 5486494768947 16459484306841