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2504135241 = 321716366897
BaseRepresentation
bin1001010101000010…
…0001001001001001
320110111222020202200
42111100201021021
520112024311431
61052252150413
7116024540556
oct22520411111
96414866680
102504135241
111075578963
1259a768409
1330ba4973a
1419a809a2d
15e9c95ee6
hex95421249

2504135241 has 12 divisors (see below), whose sum is σ = 3829854132. Its totient is φ = 1571222016.

The previous prime is 2504135237. The next prime is 2504135287. The reversal of 2504135241 is 1425314052.

2504135241 is a `hidden beast` number, since 2 + 5 + 0 + 413 + 5 + 241 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 998307216 + 1505828025 = 31596^2 + 38805^2 .

It is not a de Polignac number, because 2504135241 - 22 = 2504135237 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2504135201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8183296 + ... + 8183601.

It is an arithmetic number, because the mean of its divisors is an integer number (319154511).

Almost surely, 22504135241 is an apocalyptic number.

It is an amenable number.

2504135241 is a deficient number, since it is larger than the sum of its proper divisors (1325718891).

2504135241 is a wasteful number, since it uses less digits than its factorization.

2504135241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16366920 (or 16366917 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 2504135241 is about 50041.3353239100. The cubic root of 2504135241 is about 1357.9567141474.

Adding to 2504135241 its reverse (1425314052), we get a palindrome (3929449293).

The spelling of 2504135241 in words is "two billion, five hundred four million, one hundred thirty-five thousand, two hundred forty-one".

Divisors: 1 3 9 17 51 153 16366897 49100691 147302073 278237249 834711747 2504135241