Search a number
-
+
802263180041 = 12971428143313
BaseRepresentation
bin10111010110010101001…
…11001010001100001001
32211200210002201012100122
423223022213022030021
5101121013333230131
61412315444113025
7111650554341401
oct13531247121411
92750702635318
10802263180041
1128a268717424
1210b598395775
135a864acc56b
142ab88b6b801
1515d06d3dd7b
hexbaca9ca309

802263180041 has 8 divisors (see below), whose sum is σ = 802956491304. Its totient is φ = 801569986560.

The previous prime is 802263180011. The next prime is 802263180097. The reversal of 802263180041 is 140081362208.

It can be written as a sum of positive squares in 4 ways, for example, as 356701590025 + 445561590016 = 597245^2 + 667504^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-802263180041 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 802263179983 and 802263180010.

It is not an unprimeable number, because it can be changed into a prime (802263180011) 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, 18500801 + ... + 18544113.

It is an arithmetic number, because the mean of its divisors is an integer number (100369561413).

Almost surely, 2802263180041 is an apocalyptic number.

It is an amenable number.

802263180041 is a deficient number, since it is larger than the sum of its proper divisors (693311263).

802263180041 is a wasteful number, since it uses less digits than its factorization.

802263180041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58891.

The product of its (nonzero) digits is 18432, while the sum is 35.

The spelling of 802263180041 in words is "eight hundred two billion, two hundred sixty-three million, one hundred eighty thousand, forty-one".

Divisors: 1 1297 14281 43313 18522457 56176961 618552953 802263180041