Search a number
-
+
16365829041 = 32426432
BaseRepresentation
bin11110011110111101…
…01011101110110001
31120020120012020220100
433033132223232301
5232004123012131
611303544303013
71116363152202
oct171736535661
946216166810
1016365829041
116a390a1651
123208a71a69
13170a7c2213
14b1379d5a9
1565bba97e6
hex3cf7abbb1

16365829041 has 9 divisors (see below), whose sum is σ = 23640085209. Its totient is φ = 10910296836.

The previous prime is 16365828979. The next prime is 16365829043. The reversal of 16365829041 is 14092856361.

The square root of 16365829041 is 127929.

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

16365829041 is a `hidden beast` number, since 1 + 63 + 6 + 582 + 9 + 0 + 4 + 1 = 666.

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 16365829041 - 29 = 16365828529 is a prime.

It is not an unprimeable number, because it can be changed into a prime (16365829043) 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 8 ways as a sum of consecutive naturals, for example, 362466 + ... + 405108.

Almost surely, 216365829041 is an apocalyptic number.

16365829041 is the 127929-th square number.

16365829041 is the 63965-th centered octagonal number.

It is an amenable number.

16365829041 is a deficient number, since it is larger than the sum of its proper divisors (7274256168).

16365829041 is an frugal number, since it uses more digits than its factorization.

16365829041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85292 (or 42646 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 16365829041 in words is "sixteen billion, three hundred sixty-five million, eight hundred twenty-nine thousand, forty-one".

Divisors: 1 3 9 42643 127929 383787 1818425449 5455276347 16365829041