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36976000241 is a prime number
BaseRepresentation
bin100010011011111100…
…001111110011110001
310112102220212102200102
4202123330033303301
51101211324001431
624553032002145
72446204546655
oct423374176361
9115386772612
1036976000241
1114754a96294
1271bb230355
1336437171ab
141b0ab18a65
15e662a1dcb
hex89bf0fcf1

36976000241 has 2 divisors, whose sum is σ = 36976000242. Its totient is φ = 36976000240.

The previous prime is 36976000219. The next prime is 36976000261. The reversal of 36976000241 is 14200067963.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 35278230625 + 1697769616 = 187825^2 + 41204^2 .

It is a cyclic number.

It is not a de Polignac number, because 36976000241 - 226 = 36908891377 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 36976000195 and 36976000204.

It is not a weakly prime, because it can be changed into another prime (36976000211) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18488000120 + 18488000121.

It is an arithmetic number, because the mean of its divisors is an integer number (18488000121).

Almost surely, 236976000241 is an apocalyptic number.

It is an amenable number.

36976000241 is a deficient number, since it is larger than the sum of its proper divisors (1).

36976000241 is an equidigital number, since it uses as much as digits as its factorization.

36976000241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54432, while the sum is 38.

The spelling of 36976000241 in words is "thirty-six billion, nine hundred seventy-six million, two hundred forty-one", and thus it is an aban number.