Search a number
-
+
16435778041 = 178291166237
BaseRepresentation
bin11110100111010011…
…00001000111111001
31120102102211000220001
433103221201013321
5232130024344131
611314523433001
71121202544144
oct172351410771
946372730801
1016435778041
116a74628341
123228385761
13171c143767
14b1cbab05b
15662dc5261
hex3d3a611f9

16435778041 has 8 divisors (see below), whose sum is σ = 17423595720. Its totient is φ = 15450294528.

The previous prime is 16435778027. The next prime is 16435778077. The reversal of 16435778041 is 14087753461.

It can be written as a sum of positive squares in 4 ways, for example, as 1552754025 + 14883024016 = 39405^2 + 121996^2 .

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 16435778041 - 219 = 16435253753 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 16435777982 and 16435778000.

It is not an unprimeable number, because it can be changed into a prime (16435778011) 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 in 7 ways as a sum of consecutive naturals, for example, 569026 + ... + 597211.

It is an arithmetic number, because the mean of its divisors is an integer number (2177949465).

Almost surely, 216435778041 is an apocalyptic number.

It is an amenable number.

16435778041 is a deficient number, since it is larger than the sum of its proper divisors (987817679).

16435778041 is a wasteful number, since it uses less digits than its factorization.

16435778041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1167083.

The product of its (nonzero) digits is 564480, while the sum is 46.

The spelling of 16435778041 in words is "sixteen billion, four hundred thirty-five million, seven hundred seventy-eight thousand, forty-one".

Divisors: 1 17 829 14093 1166237 19826029 966810473 16435778041