Search a number
-
+
839281351129 = 13219237092
BaseRepresentation
bin11000011011010010001…
…00010001100111011001
32222020022221221010120021
430031221010101213121
5102222322011214004
61441321024030441
7114431113530424
oct14155104214731
92866287833507
10839281351129
112a3a34496251
121167a9762421
13611b4190400
142c89b3029bb
1516c71b70d54
hexc3691119d9

839281351129 has 27 divisors (see below), whose sum is σ = 959415741693. Its totient is φ = 733748562144.

The previous prime is 839281351127. The next prime is 839281351159. The reversal of 839281351129 is 921153182938.

The square root of 839281351129 is 916123.

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

It can be written as a sum of positive squares in 4 ways, for example, as 295593379225 + 543687971904 = 543685^2 + 737352^2 .

It is not a de Polignac number, because 839281351129 - 21 = 839281351127 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (839281351127) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 226280527 + ... + 226284235.

It is an arithmetic number, because the mean of its divisors is an integer number (35533916359).

Almost surely, 2839281351129 is an apocalyptic number.

839281351129 is the 916123-rd square number.

839281351129 is the 458062-nd centered octagonal number.

It is an amenable number.

839281351129 is a deficient number, since it is larger than the sum of its proper divisors (120134390564).

839281351129 is an frugal number, since it uses more digits than its factorization.

839281351129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7482 (or 3741 counting only the distinct ones).

The product of its digits is 933120, while the sum is 52.

The spelling of 839281351129 in words is "eight hundred thirty-nine billion, two hundred eighty-one million, three hundred fifty-one thousand, one hundred twenty-nine".

Divisors: 1 13 19 169 247 361 3211 3709 4693 48217 61009 70471 626821 916123 1338949 11909599 13756681 17406337 178836853 226282381 261376939 2324879089 3397900207 4966161841 44172702691 64560103933 839281351129