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6387366241 = 22923492
BaseRepresentation
bin1011111001011011…
…10111100101100001
3121111010221211021001
411330231313211201
5101040131204431
62533451232001
7314166501004
oct57455674541
917433854231
106387366241
112788557883
1212a3148601
137aa405a69
1444844553b
15275b52e61
hex17cb77961

6387366241 has 9 divisors (see below), whose sum is σ = 6433815321. Its totient is φ = 6341251824.

The previous prime is 6387366239. The next prime is 6387366247. The reversal of 6387366241 is 1426637836.

The square root of 6387366241 is 79921.

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

It can be written as a sum of positive squares in 4 ways, for example, as 3055767841 + 3331598400 = 55279^2 + 57720^2 .

It is not a de Polignac number, because 6387366241 - 21 = 6387366239 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 6387366191 and 6387366200.

It is not an unprimeable number, because it can be changed into a prime (6387366247) 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, 18301735 + ... + 18302083.

It is an arithmetic number, because the mean of its divisors is an integer number (714868369).

Almost surely, 26387366241 is an apocalyptic number.

6387366241 is the 79921-st square number.

6387366241 is the 39961-st centered octagonal number.

It is an amenable number.

6387366241 is a deficient number, since it is larger than the sum of its proper divisors (46449080).

6387366241 is an frugal number, since it uses more digits than its factorization.

6387366241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1156 (or 578 counting only the distinct ones).

The product of its digits is 870912, while the sum is 46.

The cubic root of 6387366241 is about 1855.4130471295.

The spelling of 6387366241 in words is "six billion, three hundred eighty-seven million, three hundred sixty-six thousand, two hundred forty-one".

Divisors: 1 229 349 52441 79921 121801 18301909 27892429 6387366241