Search a number
-
+
16013130849 = 32421812
BaseRepresentation
bin11101110100111010…
…01111110001100001
31112022222112022221100
432322131033301201
5230243330141344
611204544545013
71104551236452
oct167235176141
945288468840
1016013130849
116877aa4241
12312a922169
131682702b71
14abc9cd129
1563ac3b569
hex3ba74fc61

16013130849 has 9 divisors (see below), whose sum is σ = 23130626259. Its totient is φ = 10675167480.

The previous prime is 16013130839. The next prime is 16013130919. The reversal of 16013130849 is 94803131061.

The square root of 16013130849 is 126543.

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

16013130849 is a `hidden beast` number, since 1 + 601 + 3 + 1 + 3 + 0 + 8 + 49 = 666.

It can be written as a sum of positive squares in only one way, i.e., 632170449 + 15380960400 = 25143^2 + 124020^2 .

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

It is not a de Polignac number, because 16013130849 - 217 = 16012999777 is a prime.

It is not an unprimeable number, because it can be changed into a prime (16013130839) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 358539 + ... + 400719.

Almost surely, 216013130849 is an apocalyptic number.

16013130849 is the 126543-rd square number.

16013130849 is the 63272-nd centered octagonal number.

It is an amenable number.

16013130849 is a deficient number, since it is larger than the sum of its proper divisors (7117495410).

16013130849 is an frugal number, since it uses more digits than its factorization.

16013130849 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84368 (or 42184 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

Multiplying 16013130849 by its sum of digits (36), we get a square (576472710564 = 7592582).

The spelling of 16013130849 in words is "sixteen billion, thirteen million, one hundred thirty thousand, eight hundred forty-nine".

Divisors: 1 3 9 42181 126543 379629 1779236761 5337710283 16013130849