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138085949 is a prime number
BaseRepresentation
bin10000011101100…
…00011000111101
3100121211111022102
420032300120331
5240322222244
621411354445
73264465641
oct1016603075
9317744272
10138085949
1170a45021
123a2b2a25
13227ba081
14144a6c21
15c1c954e
hex83b063d

138085949 has 2 divisors, whose sum is σ = 138085950. Its totient is φ = 138085948.

The previous prime is 138085931. The next prime is 138085963. The reversal of 138085949 is 949580831.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 115713049 + 22372900 = 10757^2 + 4730^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-138085949 is a prime.

It is a super-2 number, since 2×1380859492 = 38135458622461202, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (138085049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 69042974 + 69042975.

It is an arithmetic number, because the mean of its divisors is an integer number (69042975).

Almost surely, 2138085949 is an apocalyptic number.

It is an amenable number.

138085949 is a deficient number, since it is larger than the sum of its proper divisors (1).

138085949 is an equidigital number, since it uses as much as digits as its factorization.

138085949 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 311040, while the sum is 47.

The square root of 138085949 is about 11750.9977874221. The cubic root of 138085949 is about 516.8721866152.

The spelling of 138085949 in words is "one hundred thirty-eight million, eighty-five thousand, nine hundred forty-nine".