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6632669707609 = 11225729112
BaseRepresentation
bin110000010000100100111…
…1010111111110101011001
3212111002002011012201010011
41200201021322333311121
51332132201421120414
622035001214321521
71253123511204151
oct140411172776531
925432064181104
106632669707609
112127999155900
128b15577b92a1
133915c54c0a2a
1418d046ca7761
15b77e6ecddc4
hex60849ebfd59

6632669707609 has 27 divisors (see below), whose sum is σ = 7326975816223. Its totient is φ = 5999644851200.

The previous prime is 6632669707597. The next prime is 6632669707649. The reversal of 6632669707609 is 9067079662366.

The square root of 6632669707609 is 2575397.

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., 6529839176025 + 102830531584 = 2555355^2 + 320672^2 .

It is not a de Polignac number, because 6632669707609 - 229 = 6632132836697 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6632669707649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 7280646864 + ... + 7280647774.

Almost surely, 26632669707609 is an apocalyptic number.

6632669707609 is the 2575397-th square number.

6632669707609 is the 1287699-th centered octagonal number.

It is an amenable number.

6632669707609 is a deficient number, since it is larger than the sum of its proper divisors (694306108614).

6632669707609 is an frugal number, since it uses more digits than its factorization.

6632669707609 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2358 (or 1179 counting only the distinct ones).

The product of its (nonzero) digits is 185177664, while the sum is 67.

The spelling of 6632669707609 in words is "six trillion, six hundred thirty-two billion, six hundred sixty-nine million, seven hundred seven thousand, six hundred nine".

Divisors: 1 11 121 257 911 2827 10021 31097 66049 110231 234127 726539 829921 2575397 7991929 9129131 28329367 60170639 100420441 213289697 661877029 2346186667 7280647319 25808053337 54815452129 602969973419 6632669707609