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39145254193 is a prime number
BaseRepresentation
bin100100011101001111…
…010010110100110001
310202001002200221200101
4210131033102310301
51120132141113233
625552202352401
72554025112343
oct443517226461
9122032627611
1039145254193
1115668525951
1277057bb701
1338cac72106
141c74c71293
151041948c7d
hex91d3d2d31

39145254193 has 2 divisors, whose sum is σ = 39145254194. Its totient is φ = 39145254192.

The previous prime is 39145254167. The next prime is 39145254233.

39145254193 is nontrivially palindromic in base 10.

39145254193 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 28690600689 + 10454653504 = 169383^2 + 102248^2 .

It is a palprime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-39145254193 is a prime.

It is not a weakly prime, because it can be changed into another prime (39145254793) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 19572627096 + 19572627097.

It is an arithmetic number, because the mean of its divisors is an integer number (19572627097).

Almost surely, 239145254193 is an apocalyptic number.

It is an amenable number.

39145254193 is a deficient number, since it is larger than the sum of its proper divisors (1).

39145254193 is an equidigital number, since it uses as much as digits as its factorization.

39145254193 is an evil number, because the sum of its binary digits is even.

The product of its digits is 583200, while the sum is 46.

The spelling of 39145254193 in words is "thirty-nine billion, one hundred forty-five million, two hundred fifty-four thousand, one hundred ninety-three".