Search a number
-
+
16442806801 = 257317201829
BaseRepresentation
bin11110101000001000…
…10101001000010001
31120102221001010112111
433110010111020101
5232133324304201
611315334225321
71121316360151
oct172404251021
946387033474
1016442806801
116a78599133
12322a7b5241
131720734aa5
14b1daba761
15663812b51
hex3d4115211

16442806801 has 8 divisors (see below), whose sum is σ = 16558940520. Its totient is φ = 16327077888.

The previous prime is 16442806799. The next prime is 16442806811. The reversal of 16442806801 is 10860824461.

It can be written as a sum of positive squares in 4 ways, for example, as 1656490000 + 14786316801 = 40700^2 + 121599^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 16442806801 - 21 = 16442806799 is a prime.

It is a super-3 number, since 3×164428068013 (a number of 32 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (16442806811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19446 + ... + 182383.

It is an arithmetic number, because the mean of its divisors is an integer number (2069867565).

Almost surely, 216442806801 is an apocalyptic number.

It is an amenable number.

16442806801 is a deficient number, since it is larger than the sum of its proper divisors (116133719).

16442806801 is a wasteful number, since it uses less digits than its factorization.

16442806801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202403.

The product of its (nonzero) digits is 73728, while the sum is 40.

The spelling of 16442806801 in words is "sixteen billion, four hundred forty-two million, eight hundred six thousand, eight hundred one".

Divisors: 1 257 317 81469 201829 51870053 63979793 16442806801