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11617760417 is a prime number
BaseRepresentation
bin10101101000111100…
…01111010010100001
31002222122212101012212
422310132033102201
5142243121313132
65200452531505
7560620222424
oct126436172241
932878771185
1011617760417
114a21a1739a
122302920b95
131131c01163
147c2d5b9bb
1547ee195b2
hex2b478f4a1

11617760417 has 2 divisors, whose sum is σ = 11617760418. Its totient is φ = 11617760416.

The previous prime is 11617760381. The next prime is 11617760447. The reversal of 11617760417 is 71406771611.

It is a happy number.

11617760417 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9976214161 + 1641546256 = 99881^2 + 40516^2 .

It is a cyclic number.

It is not a de Polignac number, because 11617760417 - 218 = 11617498273 is a prime.

It is not a weakly prime, because it can be changed into another prime (11617760447) 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 as a sum of consecutive naturals, namely, 5808880208 + 5808880209.

It is an arithmetic number, because the mean of its divisors is an integer number (5808880209).

Almost surely, 211617760417 is an apocalyptic number.

It is an amenable number.

11617760417 is a deficient number, since it is larger than the sum of its proper divisors (1).

11617760417 is an equidigital number, since it uses as much as digits as its factorization.

11617760417 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 49392, while the sum is 41.

The spelling of 11617760417 in words is "eleven billion, six hundred seventeen million, seven hundred sixty thousand, four hundred seventeen".