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16446077064461 = 1167199112135147
BaseRepresentation
bin1110111101010010011010…
…0101001101010100001101
32011020020012101110120110102
43233110212211031110031
54123423031212030321
654551120135420445
73315122056344422
oct357244645152415
964206171416412
1016446077064461
115270818833330
121a17439b24725
13923b20c17b25
1440bdcc7dbd49
151d7c00a67c0b
hexef52694d50d

16446077064461 has 16 divisors (see below), whose sum is σ = 18300456153600. Its totient is φ = 14653820879280.

The previous prime is 16446077064379. The next prime is 16446077064479.

16446077064461 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 16446077064461 - 226 = 16446009955597 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 16446077064397 and 16446077064406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16446077064491) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 55920911 + ... + 56214236.

It is an arithmetic number, because the mean of its divisors is an integer number (1143778509600).

Almost surely, 216446077064461 is an apocalyptic number.

16446077064461 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

16446077064461 is a deficient number, since it is larger than the sum of its proper divisors (1854379089139).

16446077064461 is a wasteful number, since it uses less digits than its factorization.

16446077064461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112135424.

The product of its (nonzero) digits is 16257024, while the sum is 56.

The spelling of 16446077064461 in words is "sixteen trillion, four hundred forty-six billion, seventy-seven million, sixty-four thousand, four hundred sixty-one".

Divisors: 1 11 67 199 737 2189 13333 146663 112135147 1233486617 7513054849 22314894253 82643603339 245463836783 1495097914951 16446077064461