Search a number
-
+
46670646776057 is a prime number
BaseRepresentation
bin10101001110010010110110…
…10100101001000011111001
320010020200002121200200112022
422213021123110221003321
522104122441033313212
6243132111003124225
712554562064101113
oct1247113324510371
9203220077620468
1046670646776057
1113963a01449557
125299101213675
13200703b9c4b15
14b74c2b0063b3
1555e025ce0772
hex2a725b5290f9

46670646776057 has 2 divisors, whose sum is σ = 46670646776058. Its totient is φ = 46670646776056.

The previous prime is 46670646776029. The next prime is 46670646776071. The reversal of 46670646776057 is 75067764607664.

46670646776057 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., 31454554366096 + 15216092409961 = 5608436^2 + 3900781^2 .

It is a cyclic number.

It is not a de Polignac number, because 46670646776057 - 210 = 46670646775033 is a prime.

It is not a weakly prime, because it can be changed into another prime (46670646776087) 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, 23335323388028 + 23335323388029.

It is an arithmetic number, because the mean of its divisors is an integer number (23335323388029).

Almost surely, 246670646776057 is an apocalyptic number.

It is an amenable number.

46670646776057 is a deficient number, since it is larger than the sum of its proper divisors (1).

46670646776057 is an equidigital number, since it uses as much as digits as its factorization.

46670646776057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1493614080, while the sum is 71.

The spelling of 46670646776057 in words is "forty-six trillion, six hundred seventy billion, six hundred forty-six million, seven hundred seventy-six thousand, fifty-seven".