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6672765969 = 327323732
BaseRepresentation
bin1100011011011101…
…00101010000010001
3122020000222122002100
412031232211100101
5102131212002334
63022044311013
7324233401122
oct61556452021
918200878070
106672765969
112914669921
121362842469
1382459113c
144742d8049
15290c2ac99
hex18dba5411

6672765969 has 27 divisors (see below), whose sum is σ = 9798551217. Its totient is φ = 4375809216.

The previous prime is 6672765917. The next prime is 6672766013. The reversal of 6672765969 is 9695672766.

The square root of 6672765969 is 81687.

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 82573569 + 6590192400 = 9087^2 + 81180^2 .

It is not a de Polignac number, because 6672765969 - 211 = 6672763921 is a prime.

It is a super-2 number, since 2×66727659692 = 89051611354089017922, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (6672765269) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 17889267 + ... + 17889639.

Almost surely, 26672765969 is an apocalyptic number.

6672765969 is the 81687-th square number.

6672765969 is the 40844-th centered octagonal number.

It is an amenable number.

6672765969 is a deficient number, since it is larger than the sum of its proper divisors (3125785248).

6672765969 is an frugal number, since it uses more digits than its factorization.

6672765969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 898 (or 449 counting only the distinct ones).

The product of its digits is 51438240, while the sum is 63.

The cubic root of 6672765969 is about 1882.6458491359.

It can be divided in two parts, 6672 and 765969, that added together give a square (772641 = 8792).

The spelling of 6672765969 in words is "six billion, six hundred seventy-two million, seven hundred sixty-five thousand, nine hundred sixty-nine".

Divisors: 1 3 9 73 219 373 657 1119 3357 5329 15987 27229 47961 81687 139129 245061 417387 1252161 1987717 5963151 10156417 17889453 30469251 91407753 741418441 2224255323 6672765969