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38642010041 is a prime number
BaseRepresentation
bin100011111111001111…
…100100011110111001
310200202000202111111002
4203333033210132321
51113114323310131
625430224214345
72535404444255
oct437717443671
9120660674432
1038642010041
111542a453098
1275a516a3b5
13384a9224cb
141c280b3265
15101268e6cb
hex8ff3e47b9

38642010041 has 2 divisors, whose sum is σ = 38642010042. Its totient is φ = 38642010040.

The previous prime is 38642010031. The next prime is 38642010047. The reversal of 38642010041 is 14001024683.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 19426505641 + 19215504400 = 139379^2 + 138620^2 .

It is an emirp because it is prime and its reverse (14001024683) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 38642010041 - 226 = 38574901177 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 38642009986 and 38642010013.

It is not a weakly prime, because it can be changed into another prime (38642010047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 19321005020 + 19321005021.

It is an arithmetic number, because the mean of its divisors is an integer number (19321005021).

Almost surely, 238642010041 is an apocalyptic number.

It is an amenable number.

38642010041 is a deficient number, since it is larger than the sum of its proper divisors (1).

38642010041 is an equidigital number, since it uses as much as digits as its factorization.

38642010041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4608, while the sum is 29.

The spelling of 38642010041 in words is "thirty-eight billion, six hundred forty-two million, ten thousand, forty-one".