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138416576209 is a prime number
BaseRepresentation
bin1000000011101001000…
…1010101011011010001
3111020021111012121122121
42000322101111123101
54231434120414314
6143330535334241
713000043325262
oct2007221253321
9436244177577
10138416576209
115377a60443a
12229ab521381
131008b811142
1469b1210969
153901be8d24
hex203a4556d1

138416576209 has 2 divisors, whose sum is σ = 138416576210. Its totient is φ = 138416576208.

The previous prime is 138416576171. The next prime is 138416576293. The reversal of 138416576209 is 902675614831.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 70593833025 + 67822743184 = 265695^2 + 260428^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-138416576209 is a prime.

It is not a weakly prime, because it can be changed into another prime (138416573209) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 69208288104 + 69208288105.

It is an arithmetic number, because the mean of its divisors is an integer number (69208288105).

It is a 1-persistent number, because it is pandigital, but 2⋅138416576209 = 276833152418 is not.

Almost surely, 2138416576209 is an apocalyptic number.

It is an amenable number.

138416576209 is a deficient number, since it is larger than the sum of its proper divisors (1).

138416576209 is an equidigital number, since it uses as much as digits as its factorization.

138416576209 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2177280, while the sum is 52.

The spelling of 138416576209 in words is "one hundred thirty-eight billion, four hundred sixteen million, five hundred seventy-six thousand, two hundred nine".