Search a number
-
+
38128233361507 is a prime number
BaseRepresentation
bin10001010101101011010111…
…10011100011000001100011
312000000000122010202212112221
420222311223303203001203
514444143110220032012
6213031511341131511
711013450111114322
oct1052655363430143
9160000563685487
1038128233361507
1111170102805803
124339610259b97
131837627bc8bc3
1495b5b86240b9
15461c09939507
hex22ad6bce3063

38128233361507 has 2 divisors, whose sum is σ = 38128233361508. Its totient is φ = 38128233361506.

The previous prime is 38128233361483. The next prime is 38128233361583. The reversal of 38128233361507 is 70516333282183.

38128233361507 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 is an emirp because it is prime and its reverse (70516333282183) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-38128233361507 is a prime.

It is a super-2 number, since 2×381282333615072 (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (38128233361597) 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, 19064116680753 + 19064116680754.

It is an arithmetic number, because the mean of its divisors is an integer number (19064116680754).

Almost surely, 238128233361507 is an apocalyptic number.

38128233361507 is a deficient number, since it is larger than the sum of its proper divisors (1).

38128233361507 is an equidigital number, since it uses as much as digits as its factorization.

38128233361507 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4354560, while the sum is 52.

The spelling of 38128233361507 in words is "thirty-eight trillion, one hundred twenty-eight billion, two hundred thirty-three million, three hundred sixty-one thousand, five hundred seven".