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16939803409 = 15728292
BaseRepresentation
bin11111100011011000…
…01110001100010001
31121201120020011201021
433301230032030101
5234143042202114
611440530435441
71136532644644
oct176154161421
947646204637
1016939803409
117203094031
123349132b81
13179c6a7b19
14b69acda5b
15692286024
hex3f1b0e311

16939803409 has 9 divisors (see below), whose sum is σ = 17068977297. Its totient is φ = 16811602704.

The previous prime is 16939803383. The next prime is 16939803421. The reversal of 16939803409 is 90430893961.

The square root of 16939803409 is 130153.

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

16939803409 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 317374225 + 16622429184 = 17815^2 + 128928^2 .

It is not a de Polignac number, because 16939803409 - 27 = 16939803281 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (16939803709) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 20433607 + ... + 20434435.

It is an arithmetic number, because the mean of its divisors is an integer number (1896553033).

Almost surely, 216939803409 is an apocalyptic number.

16939803409 is the 130153-rd square number.

16939803409 is the 65077-th centered octagonal number.

It is an amenable number.

16939803409 is a deficient number, since it is larger than the sum of its proper divisors (129173888).

16939803409 is an frugal number, since it uses more digits than its factorization.

16939803409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1972 (or 986 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 52.

The spelling of 16939803409 in words is "sixteen billion, nine hundred thirty-nine million, eight hundred three thousand, four hundred nine".

Divisors: 1 157 829 24649 130153 687241 20434021 107896837 16939803409