Search a number
-
+
38777517133 is a prime number
BaseRepresentation
bin100100000111010100…
…011111010001001101
310201002110201222021021
4210013110133101031
51113404021022013
625451504434141
72541641312545
oct440724372115
9121073658237
1038777517133
1115499996623
127622618951
13386ca18814
141c3c0a8325
15101e509a8d
hex90751f44d

38777517133 has 2 divisors, whose sum is σ = 38777517134. Its totient is φ = 38777517132.

The previous prime is 38777517131. The next prime is 38777517143. The reversal of 38777517133 is 33171577783.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 36778801284 + 1998715849 = 191778^2 + 44707^2 .

It is a cyclic number.

It is not a de Polignac number, because 38777517133 - 21 = 38777517131 is a prime.

Together with 38777517131, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (38777517131) 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, 19388758566 + 19388758567.

It is an arithmetic number, because the mean of its divisors is an integer number (19388758567).

Almost surely, 238777517133 is an apocalyptic number.

It is an amenable number.

38777517133 is a deficient number, since it is larger than the sum of its proper divisors (1).

38777517133 is an equidigital number, since it uses as much as digits as its factorization.

38777517133 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2593080, while the sum is 52.

The spelling of 38777517133 in words is "thirty-eight billion, seven hundred seventy-seven million, five hundred seventeen thousand, one hundred thirty-three".