Search a number
-
+
16141627001 is a prime number
BaseRepresentation
bin11110000100001110…
…11010111001111001
31112122221022121112002
433002013122321321
5231024224031001
611225415030345
71111001365013
oct170207327171
945587277462
1016141627001
116933589305
12316596b3b5
1316a3212ca6
14ad1abb1b3
1564716e46b
hex3c21dae79

16141627001 has 2 divisors, whose sum is σ = 16141627002. Its totient is φ = 16141627000.

The previous prime is 16141626967. The next prime is 16141627009. The reversal of 16141627001 is 10072614161.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 15756525625 + 385101376 = 125525^2 + 19624^2 .

It is a cyclic number.

It is not a de Polignac number, because 16141627001 - 230 = 15067885177 is a prime.

It is not a weakly prime, because it can be changed into another prime (16141627009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 8070813500 + 8070813501.

It is an arithmetic number, because the mean of its divisors is an integer number (8070813501).

Almost surely, 216141627001 is an apocalyptic number.

It is an amenable number.

16141627001 is a deficient number, since it is larger than the sum of its proper divisors (1).

16141627001 is an equidigital number, since it uses as much as digits as its factorization.

16141627001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2016, while the sum is 29.

The spelling of 16141627001 in words is "sixteen billion, one hundred forty-one million, six hundred twenty-seven thousand, one".