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6543440641 = 1710114925577
BaseRepresentation
bin1100001100000010…
…01111101100000001
3121220000122020002101
412012001033230001
5101400110100031
63001144350401
7321103220263
oct60601175401
917800566071
106543440641
112858668891
121327475401
1380385078a
14461071b33
152846d2361
hex18604fb01

6543440641 has 16 divisors (see below), whose sum is σ = 7044181200. Its totient is φ = 6056396800.

The previous prime is 6543440597. The next prime is 6543440663. The reversal of 6543440641 is 1460443456.

It can be written as a sum of positive squares in 8 ways, for example, as 30305025 + 6513135616 = 5505^2 + 80704^2 .

It is a cyclic number.

It is not a de Polignac number, because 6543440641 - 27 = 6543440513 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 6543440641.

It is not an unprimeable number, because it can be changed into a prime (6543440681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 243045 + ... + 268621.

It is an arithmetic number, because the mean of its divisors is an integer number (440261325).

Almost surely, 26543440641 is an apocalyptic number.

It is an amenable number.

6543440641 is a deficient number, since it is larger than the sum of its proper divisors (500740559).

6543440641 is a wasteful number, since it uses less digits than its factorization.

6543440641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25844.

The product of its (nonzero) digits is 138240, while the sum is 37.

The square root of 6543440641 is about 80891.5362754349. The cubic root of 6543440641 is about 1870.4038554098.

The spelling of 6543440641 in words is "six billion, five hundred forty-three million, four hundred forty thousand, six hundred forty-one".

Divisors: 1 17 101 149 1717 2533 15049 25577 255833 434809 2583277 3810973 43915709 64786541 384908273 6543440641