Search a number
-
+
6128765000081 is a prime number
BaseRepresentation
bin101100100101111011011…
…0111000101100110010001
3210200220102011121022010022
41121023312313011212101
51300403202320000311
621011303223513225
71201534336645523
oct131136667054621
923626364538108
106128765000081
111a5321607a899
1282b966bb8815
13355c2b407439
141728c3257a13
15a965369a5db
hex592f6dc5991

6128765000081 has 2 divisors, whose sum is σ = 6128765000082. Its totient is φ = 6128765000080.

The previous prime is 6128765000077. The next prime is 6128765000143. The reversal of 6128765000081 is 1800005678216.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 4006338509056 + 2122426491025 = 2001584^2 + 1456855^2 .

It is a cyclic number.

It is not a de Polignac number, because 6128765000081 - 22 = 6128765000077 is a prime.

It is a super-2 number, since 2×61287650000812 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 6128764999996 and 6128765000041.

It is not a weakly prime, because it can be changed into another prime (6128765000381) 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, 3064382500040 + 3064382500041.

It is an arithmetic number, because the mean of its divisors is an integer number (3064382500041).

Almost surely, 26128765000081 is an apocalyptic number.

It is an amenable number.

6128765000081 is a deficient number, since it is larger than the sum of its proper divisors (1).

6128765000081 is an equidigital number, since it uses as much as digits as its factorization.

6128765000081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 161280, while the sum is 44.

The spelling of 6128765000081 in words is "six trillion, one hundred twenty-eight billion, seven hundred sixty-five million, eighty-one", and thus it is an aban number.