Search a number
-
+
6016329225 = 325251712
BaseRepresentation
bin1011001101001100…
…11110011000001001
3120112021210012011100
411212212132120021
544310140013400
62432554452013
7302042645304
oct54646363011
916467705140
106016329225
112608074215
1211baa34009
1374b59542a
1441105db3b
152532b1100
hex16699e609

6016329225 has 27 divisors (see below), whose sum is σ = 10777998439. Its totient is φ = 3208088400.

The previous prime is 6016329211. The next prime is 6016329227. The reversal of 6016329225 is 5229236106.

The square root of 6016329225 is 77565.

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

6016329225 is a `hidden beast` number, since 601 + 6 + 3 + 29 + 2 + 25 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2165878521 + 3850450704 = 46539^2 + 62052^2 .

It is not a de Polignac number, because 6016329225 - 215 = 6016296457 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 6016329225.

It is not an unprimeable number, because it can be changed into a prime (6016329227) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1160890 + ... + 1166060.

Almost surely, 26016329225 is an apocalyptic number.

6016329225 is the 77565-th square number.

6016329225 is the 38783-rd centered octagonal number.

It is an amenable number.

6016329225 is a deficient number, since it is larger than the sum of its proper divisors (4761669214).

6016329225 is an frugal number, since it uses more digits than its factorization.

6016329225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10358 (or 5179 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The cubic root of 6016329225 is about 1818.7675535912.

Multiplying 6016329225 by its sum of digits (36), we get a square (216587852100 = 4653902).

It can be divided in two parts, 6016 and 329225, that added together give a square (335241 = 5792).

The spelling of 6016329225 in words is "six billion, sixteen million, three hundred twenty-nine thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 5171 15513 25855 46539 77565 129275 232695 387825 1163475 26739241 80217723 133696205 240653169 401088615 668481025 1203265845 2005443075 6016329225