Search a number
-
+
16248345961 = 41231092
BaseRepresentation
bin11110010000111101…
…00001010101101001
31112221101010111102011
433020132201111221
5231234034032321
611244150235521
71113435443011
oct171036412551
945841114364
1016248345961
1169888498a1
123195655ba1
1316bc369ac3
14b01d3ac41
156516eeae1
hex3c87a1569

16248345961 has 9 divisors (see below), whose sum is σ = 16659671493. Its totient is φ = 15846946080.

The previous prime is 16248345941. The next prime is 16248345979. The reversal of 16248345961 is 16954384261.

The square root of 16248345961 is 127469.

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

16248345961 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 10204838361 + 6043507600 = 101019^2 + 77740^2 .

It is not a de Polignac number, because 16248345961 - 211 = 16248343913 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (16248345931) 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, 5224675 + ... + 5227783.

Almost surely, 216248345961 is an apocalyptic number.

16248345961 is the 127469-th square number.

16248345961 is the 63735-th centered octagonal number.

It is an amenable number.

16248345961 is a deficient number, since it is larger than the sum of its proper divisors (411325532).

16248345961 is an frugal number, since it uses more digits than its factorization.

16248345961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6300 (or 3150 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 49.

Multiplying 16248345961 by its sum of digits (49), we get a square (796168952089 = 8922832).

The spelling of 16248345961 in words is "sixteen billion, two hundred forty-eight million, three hundred forty-five thousand, nine hundred sixty-one".

Divisors: 1 41 1681 3109 127469 5226229 9665881 396301121 16248345961