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11460498617 is a prime number
BaseRepresentation
bin10101010110001100…
…10101010010111001
31002120200221122120202
422223012111102321
5141432341423432
65133114131545
7554000426261
oct125306252271
932520848522
1011460498617
114951175267
12227a120bb5
13110845bb39
147aa1027a1
15471203462
hex2ab1954b9

11460498617 has 2 divisors, whose sum is σ = 11460498618. Its totient is φ = 11460498616.

The previous prime is 11460498551. The next prime is 11460498683. The reversal of 11460498617 is 71689406411.

It is a happy number.

11460498617 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a balanced prime because it is at equal distance from previous prime (11460498551) and next prime (11460498683).

It can be written as a sum of positive squares in only one way, i.e., 8704143616 + 2756355001 = 93296^2 + 52501^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-11460498617 is a prime.

It is a super-3 number, since 3×114604986173 (a number of 31 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (11460498017) 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, 5730249308 + 5730249309.

It is an arithmetic number, because the mean of its divisors is an integer number (5730249309).

Almost surely, 211460498617 is an apocalyptic number.

It is an amenable number.

11460498617 is a deficient number, since it is larger than the sum of its proper divisors (1).

11460498617 is an equidigital number, since it uses as much as digits as its factorization.

11460498617 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 290304, while the sum is 47.

The spelling of 11460498617 in words is "eleven billion, four hundred sixty million, four hundred ninety-eight thousand, six hundred seventeen".