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4221635041 = 132177320129
BaseRepresentation
bin1111101110100001…
…0000100111100001
3101220012202021120101
43323220100213201
532121214310131
61534524142401
7206421206611
oct37350204741
911805667511
104221635041
111877003988
12999997a01
13523812400
142c0968a41
1519a954c61
hexfba109e1

4221635041 has 24 divisors (see below), whose sum is σ = 4906808280. Its totient is φ = 3617243136.

The previous prime is 4221635017. The next prime is 4221635053. The reversal of 4221635041 is 1405361224.

4221635041 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 557148816 + 3664486225 = 23604^2 + 60535^2 .

It is a de Polignac number, because none of the positive numbers 2k-4221635041 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4221639041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 199665 + ... + 219793.

It is an arithmetic number, because the mean of its divisors is an integer number (204450345).

Almost surely, 24221635041 is an apocalyptic number.

It is an amenable number.

4221635041 is a deficient number, since it is larger than the sum of its proper divisors (685173239).

4221635041 is a wasteful number, since it uses less digits than its factorization.

4221635041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20245 (or 20232 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 4221635041 is about 64974.1105441236. The cubic root of 4221635041 is about 1616.1942673653.

Adding to 4221635041 its reverse (1405361224), we get a palindrome (5626996265).

The spelling of 4221635041 in words is "four billion, two hundred twenty-one million, six hundred thirty-five thousand, forty-one".

Divisors: 1 13 17 73 169 221 949 1241 2873 12337 16133 20129 209729 261677 342193 1469417 3401801 4448509 19102421 24980089 57830617 248331473 324741157 4221635041