Search a number
-
+
872690404041 = 323113932
BaseRepresentation
bin11001011001100000110…
…01101100101011001001
310002102120021221212101100
430230300121230223021
5103244232220412131
61504524120012013
7120023040020151
oct14546031545311
93072507855340
10872690404041
11307118a89185
12121172301009
13643a98caa81
143034a3d3761
1517a79bde7e6
hexcb3066cac9

872690404041 has 9 divisors (see below), whose sum is σ = 1260556853959. Its totient is φ = 581791734336.

The previous prime is 872690404021. The next prime is 872690404063. The reversal of 872690404041 is 140404096278.

The square root of 872690404041 is 934179.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 36387470025 + 836302934016 = 190755^2 + 914496^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 872690404041 - 27 = 872690403913 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (872690404021) 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 8 ways as a sum of consecutive naturals, for example, 2646841 + ... + 2958233.

Almost surely, 2872690404041 is an apocalyptic number.

872690404041 is the 934179-th square number.

872690404041 is the 467090-th centered octagonal number.

It is an amenable number.

872690404041 is a deficient number, since it is larger than the sum of its proper divisors (387866449918).

872690404041 is an frugal number, since it uses more digits than its factorization.

872690404041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622792 (or 311396 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 872690404041 in words is "eight hundred seventy-two billion, six hundred ninety million, four hundred four thousand, forty-one".

Divisors: 1 3 9 311393 934179 2802537 96965600449 290896801347 872690404041