Search a number
-
+
38766872041 is a prime number
BaseRepresentation
bin100100000110101011…
…111000010111101001
310201001201201010221121
4210012223320113221
51113343304401131
625450444335241
72541451655362
oct440653702751
9121051633847
1038766872041
1115493985827
12761ab44521
13386a75c451
141c3a8d6b69
15101d605911
hex906af85e9

38766872041 has 2 divisors, whose sum is σ = 38766872042. Its totient is φ = 38766872040.

The previous prime is 38766871991. The next prime is 38766872057. The reversal of 38766872041 is 14027866783.

38766872041 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 34291262041 + 4475610000 = 185179^2 + 66900^2 .

It is a cyclic number.

It is not a de Polignac number, because 38766872041 - 211 = 38766869993 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 38766872041.

It is not a weakly prime, because it can be changed into another prime (38766870041) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 19383436020 + 19383436021.

It is an arithmetic number, because the mean of its divisors is an integer number (19383436021).

Almost surely, 238766872041 is an apocalyptic number.

It is an amenable number.

38766872041 is a deficient number, since it is larger than the sum of its proper divisors (1).

38766872041 is an equidigital number, since it uses as much as digits as its factorization.

38766872041 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2709504, while the sum is 52.

The spelling of 38766872041 in words is "thirty-eight billion, seven hundred sixty-six million, eight hundred seventy-two thousand, forty-one".