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11539271241 = 326125872
BaseRepresentation
bin10101011111100101…
…10100111001001001
31002210012011201022100
422233302310321021
5142113023134431
65145010344013
7555645121131
oct125762647111
932705151270
1011539271241
114991688303
1222a058b009
13111b87c664
147b6769ac1
154780b34e6
hex2afcb4e49

11539271241 has 27 divisors (see below), whose sum is σ = 16974476103. Its totient is φ = 7553844720.

The previous prime is 11539271231. The next prime is 11539271269. The reversal of 11539271241 is 14217293511.

It is a happy number.

The square root of 11539271241 is 107421.

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

11539271241 is a `hidden beast` number, since 11 + 539 + 2 + 71 + 2 + 41 = 666.

It can be written as a sum of positive squares in only one way, i.e., 375235641 + 11164035600 = 19371^2 + 105660^2 .

It is not a de Polignac number, because 11539271241 - 211 = 11539269193 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11539271196 and 11539271205.

It is not an unprimeable number, because it can be changed into a prime (11539271221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 19657750 + ... + 19658336.

Almost surely, 211539271241 is an apocalyptic number.

11539271241 is the 107421-st square number.

11539271241 is the 53711-st centered octagonal number.

It is an amenable number.

11539271241 is a deficient number, since it is larger than the sum of its proper divisors (5435204862).

11539271241 is an frugal number, since it uses more digits than its factorization.

11539271241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1302 (or 651 counting only the distinct ones).

The product of its digits is 15120, while the sum is 36.

Multiplying 11539271241 by its sum of digits (36), we get a square (415413764676 = 6445262).

The spelling of 11539271241 in words is "eleven billion, five hundred thirty-nine million, two hundred seventy-one thousand, two hundred forty-one".

Divisors: 1 3 9 61 183 549 587 1761 3721 5283 11163 33489 35807 107421 322263 344569 1033707 2184227 3101121 6552681 19658043 21018709 63056127 189168381 1282141249 3846423747 11539271241