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6852946321 = 137311936053
BaseRepresentation
bin1100110000111011…
…11010100110010001
3122200121000202001201
412120131322212101
5103013323240241
63052002231201
7331552040224
oct63035724621
918617022051
106852946321
1129a7345001
1213b3055501
138529c9130
144901db5bb
152a196c931
hex19877a991

6852946321 has 16 divisors (see below), whose sum is σ = 7488701136. Its totient is φ = 6232882176.

The previous prime is 6852946291. The next prime is 6852946337. The reversal of 6852946321 is 1236492586.

It can be written as a sum of positive squares in 8 ways, for example, as 1091377296 + 5761569025 = 33036^2 + 75905^2 .

It is a cyclic number.

It is not a de Polignac number, because 6852946321 - 213 = 6852938129 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6852946351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1129131 + ... + 1135183.

It is an arithmetic number, because the mean of its divisors is an integer number (468043821).

Almost surely, 26852946321 is an apocalyptic number.

It is an amenable number.

6852946321 is a deficient number, since it is larger than the sum of its proper divisors (635754815).

6852946321 is a wasteful number, since it uses less digits than its factorization.

6852946321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7332.

The product of its digits is 622080, while the sum is 46.

The square root of 6852946321 is about 82782.5242487809. The cubic root of 6852946321 is about 1899.4408623413.

The spelling of 6852946321 in words is "six billion, eight hundred fifty-two million, nine hundred forty-six thousand, three hundred twenty-one".

Divisors: 1 13 73 949 1193 6053 15509 78689 87089 441869 1132157 5744297 7221229 93875977 527149717 6852946321