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11586714481 = 769129711617
BaseRepresentation
bin10101100101001111…
…10011101101110001
31002220111110002012101
422302213303231301
5142212144330411
65153423300401
7560062306456
oct126247635561
932814402171
1011586714481
114a064420a1
1222b444a701
131128651094
147bcb9982d
1547c3358c1
hex2b29f3b71

11586714481 has 8 divisors (see below), whose sum is σ = 11611726280. Its totient is φ = 11561730048.

The previous prime is 11586714449. The next prime is 11586714499. The reversal of 11586714481 is 18441768511.

It is the 43945-th star number.

It can be written as a sum of positive squares in 4 ways, for example, as 3950751025 + 7635963456 = 62855^2 + 87384^2 .

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

It is a 5-Lehmer number, since φ(11586714481) divides (11586714481-1)5.

It is a cyclic number.

It is not a de Polignac number, because 11586714481 - 25 = 11586714449 is a prime.

It is a super-2 number, since 2×115867144812 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11586714401) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 991585 + ... + 1003201.

It is an arithmetic number, because the mean of its divisors is an integer number (1451465785).

Almost surely, 211586714481 is an apocalyptic number.

It is an amenable number.

11586714481 is a deficient number, since it is larger than the sum of its proper divisors (25011799).

11586714481 is a wasteful number, since it uses less digits than its factorization.

11586714481 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13683.

The product of its digits is 215040, while the sum is 46.

The spelling of 11586714481 in words is "eleven billion, five hundred eighty-six million, seven hundred fourteen thousand, four hundred eighty-one".

Divisors: 1 769 1297 11617 997393 8933473 15067249 11586714481