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38438040217 is a prime number
BaseRepresentation
bin100011110011000101…
…011111001010011001
310200012210221202111011
4203303011133022121
51112210114241332
625354100333521
72530346644123
oct436305371231
9120183852434
1038438040217
11153352a9595
1275489a42a1
1338175a82c5
141c08d7a213
15eee7ede47
hex8f315f299

38438040217 has 2 divisors, whose sum is σ = 38438040218. Its totient is φ = 38438040216.

The previous prime is 38438040181. The next prime is 38438040229. The reversal of 38438040217 is 71204083483.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 24584985616 + 13853054601 = 156796^2 + 117699^2 .

It is a cyclic number.

It is not a de Polignac number, because 38438040217 - 27 = 38438040089 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 38438040217.

It is not a weakly prime, because it can be changed into another prime (38438046217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 19219020108 + 19219020109.

It is an arithmetic number, because the mean of its divisors is an integer number (19219020109).

Almost surely, 238438040217 is an apocalyptic number.

It is an amenable number.

38438040217 is a deficient number, since it is larger than the sum of its proper divisors (1).

38438040217 is an equidigital number, since it uses as much as digits as its factorization.

38438040217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 129024, while the sum is 40.

The spelling of 38438040217 in words is "thirty-eight billion, four hundred thirty-eight million, forty thousand, two hundred seventeen".