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16541168425 = 528961712049
BaseRepresentation
bin11110110011110111…
…00011001100101001
31120200210010102022121
433121323203030221
5232334014342200
611333210351241
71123622416555
oct173173431451
946623112277
1016541168425
117019070731
12325772b521
131737c23932
14b2cba2865
1566c291e1a
hex3d9ee3329

16541168425 has 24 divisors (see below), whose sum is σ = 20776851000. Its totient is φ = 13061959680.

The previous prime is 16541168381. The next prime is 16541168431. The reversal of 16541168425 is 52486114561.

16541168425 = T180 + T181 + ... + T4629.

It can be written as a sum of positive squares in 12 ways, for example, as 10323372816 + 6217795609 = 101604^2 + 78853^2 .

It is not a de Polignac number, because 16541168425 - 29 = 16541167913 is a prime.

It is a super-2 number, since 2×165411684252 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1366801 + ... + 1378849.

It is an arithmetic number, because the mean of its divisors is an integer number (865702125).

Almost surely, 216541168425 is an apocalyptic number.

It is an amenable number.

16541168425 is a deficient number, since it is larger than the sum of its proper divisors (4235682575).

16541168425 is a wasteful number, since it uses less digits than its factorization.

16541168425 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12765 (or 12760 counting only the distinct ones).

The product of its digits is 230400, while the sum is 43.

The spelling of 16541168425 in words is "sixteen billion, five hundred forty-one million, one hundred sixty-eight thousand, four hundred twenty-five".

Divisors: 1 5 25 89 445 617 2225 3085 12049 15425 54913 60245 274565 301225 1072361 1372825 5361805 7434233 26809025 37171165 185855825 661646737 3308233685 16541168425