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7166807649 = 32282192
BaseRepresentation
bin1101010110010110…
…01100111001100001
3200111110121112212100
412223023030321201
5104134200321044
63143053321013
7342412600641
oct65313147141
920443545770
107166807649
113048526731
121480196169
138a2a3b1b1
144bdb7c521
152be2b8869
hex1ab2cce61

7166807649 has 9 divisors (see below), whose sum is σ = 10352422353. Its totient is φ = 4777702452.

The previous prime is 7166807629. The next prime is 7166807653. The reversal of 7166807649 is 9467086617.

It is a happy number.

The square root of 7166807649 is 84657.

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

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 7166807649 - 25 = 7166807617 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 7166807595 and 7166807604.

It is not an unprimeable number, because it can be changed into a prime (7166807629) 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 8 ways as a sum of consecutive naturals, for example, 239862 + ... + 268080.

Almost surely, 27166807649 is an apocalyptic number.

7166807649 is the 84657-th square number.

7166807649 is the 42329-th centered octagonal number.

It is an amenable number.

7166807649 is a deficient number, since it is larger than the sum of its proper divisors (3185614704).

7166807649 is an frugal number, since it uses more digits than its factorization.

7166807649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56444 (or 28222 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The cubic root of 7166807649 is about 1928.0068956074.

The spelling of 7166807649 in words is "seven billion, one hundred sixty-six million, eight hundred seven thousand, six hundred forty-nine".

Divisors: 1 3 9 28219 84657 253971 796311961 2388935883 7166807649