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38208057509 is a prime number
BaseRepresentation
bin100011100101011000…
…001011000010100101
310122121210012102112002
4203211120023002211
51111222230320014
625315203135045
72521555062446
oct434530130245
9118553172462
1038208057509
11152274a8136
1274a3974485
1337aba53b6b
141bc65d12cd
15ed9520dde
hex8e560b0a5

38208057509 has 2 divisors, whose sum is σ = 38208057510. Its totient is φ = 38208057508.

The previous prime is 38208057497. The next prime is 38208057521. The reversal of 38208057509 is 90575080283.

It is a balanced prime because it is at equal distance from previous prime (38208057497) and next prime (38208057521).

It can be written as a sum of positive squares in only one way, i.e., 27950824225 + 10257233284 = 167185^2 + 101278^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-38208057509 is a prime.

It is a super-2 number, since 2×382080575092 (a number of 22 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (38208057529) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 19104028754 + 19104028755.

It is an arithmetic number, because the mean of its divisors is an integer number (19104028755).

Almost surely, 238208057509 is an apocalyptic number.

It is an amenable number.

38208057509 is a deficient number, since it is larger than the sum of its proper divisors (1).

38208057509 is an equidigital number, since it uses as much as digits as its factorization.

38208057509 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 604800, while the sum is 47.

The spelling of 38208057509 in words is "thirty-eight billion, two hundred eight million, fifty-seven thousand, five hundred nine".