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34036536041 is a prime number
BaseRepresentation
bin11111101100101111…
…000101001011101001
310020212001202011211222
4133230233011023221
51024201323123131
623345225031425
72313312532334
oct375457051351
9106761664758
1034036536041
1113486812332
12671a925575
133295739771
14190c58d61b
15d431b987b
hex7ecbc52e9

34036536041 has 2 divisors, whose sum is σ = 34036536042. Its totient is φ = 34036536040.

The previous prime is 34036536013. The next prime is 34036536047. The reversal of 34036536041 is 14063563043.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 26040599641 + 7995936400 = 161371^2 + 89420^2 .

It is an emirp because it is prime and its reverse (14063563043) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 34036536041 - 26 = 34036535977 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34036535992 and 34036536010.

It is not a weakly prime, because it can be changed into another prime (34036536047) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17018268020 + 17018268021.

It is an arithmetic number, because the mean of its divisors is an integer number (17018268021).

Almost surely, 234036536041 is an apocalyptic number.

It is an amenable number.

34036536041 is a deficient number, since it is larger than the sum of its proper divisors (1).

34036536041 is an equidigital number, since it uses as much as digits as its factorization.

34036536041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 77760, while the sum is 35.

The spelling of 34036536041 in words is "thirty-four billion, thirty-six million, five hundred thirty-six thousand, forty-one".