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11586714401 is a prime number
BaseRepresentation
bin10101100101001111…
…10011101100100001
31002220111110002002102
422302213303230201
5142212144330101
65153423300145
7560062306313
oct126247635441
932814402072
1011586714401
114a06442029
1222b444a655
131128651032
147bcb997b3
1547c33586b
hex2b29f3b21

11586714401 has 2 divisors, whose sum is σ = 11586714402. Its totient is φ = 11586714400.

The previous prime is 11586714389. The next prime is 11586714413. The reversal of 11586714401 is 10441768511.

It is a balanced prime because it is at equal distance from previous prime (11586714389) and next prime (11586714413).

It can be written as a sum of positive squares in only one way, i.e., 8520213025 + 3066501376 = 92305^2 + 55376^2 .

It is an emirp because it is prime and its reverse (10441768511) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 11586714401 - 218 = 11586452257 is a prime.

It is a super-2 number, since 2×115867144012 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (11586714421) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5793357200 + 5793357201.

It is an arithmetic number, because the mean of its divisors is an integer number (5793357201).

Almost surely, 211586714401 is an apocalyptic number.

It is an amenable number.

11586714401 is a deficient number, since it is larger than the sum of its proper divisors (1).

11586714401 is an equidigital number, since it uses as much as digits as its factorization.

11586714401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 26880, while the sum is 38.

The spelling of 11586714401 in words is "eleven billion, five hundred eighty-six million, seven hundred fourteen thousand, four hundred one".