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6135432241 = 292372732
BaseRepresentation
bin1011011011011001…
…10100010000110001
3120211120220020210011
411231230310100301
5100031132312431
62452451334521
7305020212361
oct55554642061
916746806704
106135432241
112669323064
1212328b1441
1376a166ca3
14422bc49a1
1525d98acb1
hex16db34431

6135432241 has 27 divisors (see below), whose sum is σ = 6621360291. Its totient is φ = 5684805504.

The previous prime is 6135432211. The next prime is 6135432257. The reversal of 6135432241 is 1422345316.

The square root of 6135432241 is 78329.

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

6135432241 is digitally balanced in base 3, 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 13 ways, for example, as 341177841 + 5794254400 = 18471^2 + 76120^2 .

It is not a de Polignac number, because 6135432241 - 223 = 6127043633 is a prime.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6135432211) 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, 84046981 + ... + 84047053.

Almost surely, 26135432241 is an apocalyptic number.

6135432241 is the 78329-th square number.

6135432241 is the 39165-th centered octagonal number.

It is an amenable number.

6135432241 is a deficient number, since it is larger than the sum of its proper divisors (485928050).

6135432241 is an frugal number, since it uses more digits than its factorization.

6135432241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 139 counting only the distinct ones).

The product of its digits is 17280, while the sum is 31.

The cubic root of 6135432241 is about 1830.6910347712.

Adding to 6135432241 its reverse (1422345316), we get a palindrome (7557777557).

The spelling of 6135432241 in words is "six billion, one hundred thirty-five million, four hundred thirty-two thousand, two hundred forty-one".

Divisors: 1 29 37 73 841 1073 1369 2117 2701 5329 31117 39701 61393 78329 99937 154541 197173 1151329 2271541 2898173 4481689 5718017 7295401 84047017 165822493 211566629 6135432241