Search a number
-
+
876131568361 = 721337172
BaseRepresentation
bin11001011111111011000…
…00101100101011101001
310002202110010010010101201
430233331200230223221
5103323304140141421
61510253404044201
7120204233312200
oct14577540545351
93082403103351
10876131568361
1130862447a935
12121972833661
136480780738a
1430595438237
1517bcbd78b91
hexcbfd82cae9

876131568361 has 9 divisors (see below), whose sum is σ = 1019181078999. Its totient is φ = 750964299624.

The previous prime is 876131568359. The next prime is 876131568437. The reversal of 876131568361 is 163865131678.

It is a happy number.

The square root of 876131568361 is 936019.

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., 28708219225 + 847423349136 = 169435^2 + 920556^2 .

It is not a de Polignac number, because 876131568361 - 21 = 876131568359 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (876131508361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6485275 + ... + 6618991.

It is an arithmetic number, because the mean of its divisors is an integer number (113242342111).

Almost surely, 2876131568361 is an apocalyptic number.

876131568361 is the 936019-th square number.

876131568361 is the 468010-th centered octagonal number.

It is an amenable number.

876131568361 is a deficient number, since it is larger than the sum of its proper divisors (143049510638).

876131568361 is an frugal number, since it uses more digits than its factorization.

876131568361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267448 (or 133724 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 55.

The spelling of 876131568361 in words is "eight hundred seventy-six billion, one hundred thirty-one million, five hundred sixty-eight thousand, three hundred sixty-one".

Divisors: 1 7 49 133717 936019 6552133 17880236089 125161652623 876131568361