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1149009148817 is a prime number
BaseRepresentation
bin10000101110000110010…
…010000011101110010001
311001211210102102111001122
4100232012102003232101
5122311132320230232
62235503021412025
7146004342422225
oct20560622035621
94054712374048
101149009148817
11403323789972
12166828a0a015
138447449210a
143d88038c785
151ed4d370312
hex10b86483b91

1149009148817 has 2 divisors, whose sum is σ = 1149009148818. Its totient is φ = 1149009148816.

The previous prime is 1149009148789. The next prime is 1149009148829. The reversal of 1149009148817 is 7188419009411.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1030541704336 + 118467444481 = 1015156^2 + 344191^2 .

It is a cyclic number.

It is not a de Polignac number, because 1149009148817 - 236 = 1080289672081 is a prime.

It is not a weakly prime, because it can be changed into another prime (1149009148517) 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, 574504574408 + 574504574409.

It is an arithmetic number, because the mean of its divisors is an integer number (574504574409).

Almost surely, 21149009148817 is an apocalyptic number.

It is an amenable number.

1149009148817 is a deficient number, since it is larger than the sum of its proper divisors (1).

1149009148817 is an equidigital number, since it uses as much as digits as its factorization.

1149009148817 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 580608, while the sum is 53.

The spelling of 1149009148817 in words is "one trillion, one hundred forty-nine billion, nine million, one hundred forty-eight thousand, eight hundred seventeen".