Search a number
-
+
38817840689 is a prime number
BaseRepresentation
bin100100001001101110…
…010011111000110001
310201012021121121210022
4210021232103320301
51113444331400224
625455505013225
72542641126125
oct441156237061
9121167547708
1038817840689
111550a728281
127634024215
133878196704
141c435a3585
151022d2265e
hex909b93e31

38817840689 has 2 divisors, whose sum is σ = 38817840690. Its totient is φ = 38817840688.

The previous prime is 38817840643. The next prime is 38817840709. The reversal of 38817840689 is 98604871883.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 38661390625 + 156450064 = 196625^2 + 12508^2 .

It is a cyclic number.

It is not a de Polignac number, because 38817840689 - 212 = 38817836593 is a prime.

It is not a weakly prime, because it can be changed into another prime (38817840289) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 19408920344 + 19408920345.

It is an arithmetic number, because the mean of its divisors is an integer number (19408920345).

Almost surely, 238817840689 is an apocalyptic number.

It is an amenable number.

38817840689 is a deficient number, since it is larger than the sum of its proper divisors (1).

38817840689 is an equidigital number, since it uses as much as digits as its factorization.

38817840689 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18579456, while the sum is 62.

The spelling of 38817840689 in words is "thirty-eight billion, eight hundred seventeen million, eight hundred forty thousand, six hundred eighty-nine".