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16608765625 = 5610312
BaseRepresentation
bin11110111011111010…
…11010011010111001
31120212111022201020121
433131331122122321
5233003321000000
611344023253241
71125403115134
oct173575323271
946774281217
1016608765625
117053240491
1232762aa221
131748c3088a
14b37b5b21b
15673195b1a
hex3ddf5a6b9

16608765625 has 21 divisors (see below), whose sum is σ = 20780847283. Its totient is φ = 13274125000.

The previous prime is 16608765617. The next prime is 16608765629. The reversal of 16608765625 is 52656780661.

The square root of 16608765625 is 128875.

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

It can be written as a sum of positive squares in 3 ways, for example, as 14550873129 + 2057892496 = 120627^2 + 45364^2 .

It is not a de Polignac number, because 16608765625 - 23 = 16608765617 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (16608765629) 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 20 ways as a sum of consecutive naturals, for example, 16108860 + ... + 16109890.

Almost surely, 216608765625 is an apocalyptic number.

16608765625 is the 128875-th square number.

16608765625 is the 64438-th centered octagonal number.

It is an amenable number.

16608765625 is a deficient number, since it is larger than the sum of its proper divisors (4172081658).

16608765625 is an frugal number, since it uses more digits than its factorization.

16608765625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2092 (or 1036 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 52.

The spelling of 16608765625 in words is "sixteen billion, six hundred eight million, seven hundred sixty-five thousand, six hundred twenty-five".

Divisors: 1 5 25 125 625 1031 3125 5155 15625 25775 128875 644375 1062961 3221875 5314805 16109375 26574025 132870125 664350625 3321753125 16608765625