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6315639841 = 72113532
BaseRepresentation
bin1011110000111000…
…10000010000100001
3121022010222202010201
411320130100100201
5100413300433331
62522410025201
7312336024100
oct57034202041
917263882121
106315639841
112751017765
121283118201
137985b14c4
1443cad4037
1526e6d5a61
hex178710421

6315639841 has 9 divisors (see below), whose sum is σ = 7347411891. Its totient is φ = 5412928752.

The previous prime is 6315639829. The next prime is 6315639887. The reversal of 6315639841 is 1489365136.

The square root of 6315639841 is 79471.

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

It can be written as a sum of positive squares in only one way, i.e., 1731808225 + 4583831616 = 41615^2 + 67704^2 .

It is not a de Polignac number, because 6315639841 - 25 = 6315639809 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 6315639791 and 6315639800.

It is not an unprimeable number, because it can be changed into a prime (6315639041) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 550621 + ... + 561973.

It is an arithmetic number, because the mean of its divisors is an integer number (816379099).

Almost surely, 26315639841 is an apocalyptic number.

6315639841 is the 79471-st square number.

6315639841 is the 39736-th centered octagonal number.

It is an amenable number.

6315639841 is a deficient number, since it is larger than the sum of its proper divisors (1031772050).

6315639841 is an frugal number, since it uses more digits than its factorization.

6315639841 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22720 (or 11360 counting only the distinct ones).

The product of its digits is 466560, while the sum is 46.

The cubic root of 6315639841 is about 1848.4418183366.

The spelling of 6315639841 in words is "six billion, three hundred fifteen million, six hundred thirty-nine thousand, eight hundred forty-one".

Divisors: 1 7 49 11353 79471 556297 128890609 902234263 6315639841