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6686496441 = 329722812
BaseRepresentation
bin1100011101000101…
…11101011010111001
3122020222211012202100
412032202331122321
5102143220341231
63023254454013
7324461165502
oct61642753271
918228735670
106686496441
112921397819
121367364309
1382738a991
1447606dba9
1529203e1e6
hex18e8bd6b9

6686496441 has 27 divisors (see below), whose sum is σ = 9793721613. Its totient is φ = 4396008960.

The previous prime is 6686496433. The next prime is 6686496461. The reversal of 6686496441 is 1446946866.

It is a happy number.

The square root of 6686496441 is 81771.

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 109935225 + 6576561216 = 10485^2 + 81096^2 .

It is not a de Polignac number, because 6686496441 - 23 = 6686496433 is a prime.

It is not an unprimeable number, because it can be changed into a prime (6686496461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 23795221 + ... + 23795501.

Almost surely, 26686496441 is an apocalyptic number.

6686496441 is the 81771-st square number.

6686496441 is the 40886-th centered octagonal number.

It is an amenable number.

6686496441 is a deficient number, since it is larger than the sum of its proper divisors (3107225172).

6686496441 is an frugal number, since it uses more digits than its factorization.

6686496441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 762 (or 381 counting only the distinct ones).

The product of its digits is 5971968, while the sum is 54.

The cubic root of 6686496441 is about 1883.9362638519.

The spelling of 6686496441 in words is "six billion, six hundred eighty-six million, four hundred ninety-six thousand, four hundred forty-one".

Divisors: 1 3 9 97 281 291 843 873 2529 9409 27257 28227 78961 81771 84681 236883 245313 710649 2643929 7659217 7931787 22977651 23795361 68932953 742944049 2228832147 6686496441