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4135768561 = 29211367493
BaseRepresentation
bin1111011010000010…
…1101000111110001
3101200020011210220101
43312200231013301
531432224043221
61522215512401
7204326311201
oct36640550761
911606153811
104135768561
111832596151
12975088701
1350baa9a42
142b33b6401
15193142d91
hexf682d1f1

4135768561 has 8 divisors (see below), whose sum is σ = 4280469480. Its totient is φ = 3991206912.

The previous prime is 4135768547. The next prime is 4135768577. The reversal of 4135768561 is 1658675314.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 301682161 + 3834086400 = 17369^2 + 61920^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 4135768561 - 219 = 4135244273 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4135768591) 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 7 ways as a sum of consecutive naturals, for example, 27531 + ... + 95023.

It is an arithmetic number, because the mean of its divisors is an integer number (535058685).

Almost surely, 24135768561 is an apocalyptic number.

It is an amenable number.

4135768561 is a deficient number, since it is larger than the sum of its proper divisors (144700919).

4135768561 is a wasteful number, since it uses less digits than its factorization.

4135768561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69635.

The product of its digits is 604800, while the sum is 46.

The square root of 4135768561 is about 64309.9413854499. The cubic root of 4135768561 is about 1605.1615292766.

The spelling of 4135768561 in words is "four billion, one hundred thirty-five million, seven hundred sixty-eight thousand, five hundred sixty-one".

Divisors: 1 29 2113 61277 67493 1957297 142612709 4135768561