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16416296040168 = 23321092091780841
BaseRepresentation
bin1110111011100011011101…
…1111100111011011101000
32011010101022220012210021200
43232320313133213123220
54122431033241241133
654525313045004200
73313016055664623
oct356706737473350
964111286183250
1016416296040168
11525a126162a62
121a117083b3660
1392108602216b
1440a7a54b4dba
151d705b295913
hexeee377e76e8

16416296040168 has 48 divisors (see below), whose sum is σ = 44868699060900. Its totient is φ = 5421895937280.

The previous prime is 16416296040163. The next prime is 16416296040203. The reversal of 16416296040168 is 86104069261461.

16416296040168 is a `hidden beast` number, since 1 + 6 + 4 + 1 + 6 + 29 + 604 + 0 + 1 + 6 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 16351170020964 + 65126019204 = 4043658^2 + 255198^2 .

It is not an unprimeable number, because it can be changed into a prime (16416296040163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1045882573 + ... + 1045898268.

Almost surely, 216416296040168 is an apocalyptic number.

16416296040168 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

16416296040168 is an abundant number, since it is smaller than the sum of its proper divisors (28452403020732).

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

16416296040168 is a wasteful number, since it uses less digits than its factorization.

16416296040168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2091780962 (or 2091780955 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 16416296040168 in words is "sixteen trillion, four hundred sixteen billion, two hundred ninety-six million, forty thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 109 218 327 436 654 872 981 1308 1962 2616 3924 7848 2091780841 4183561682 6275342523 8367123364 12550685046 16734246728 18826027569 25101370092 37652055138 50202740184 75304110276 150608220552 228004111669 456008223338 684012335007 912016446676 1368024670014 1824032893352 2052037005021 2736049340028 4104074010042 5472098680056 8208148020084 16416296040168