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12782337481 = 16726772
BaseRepresentation
bin10111110011110001…
…01111110111001001
31012222211020000121201
423321320233313021
5202134234244411
65512213504201
7631521035014
oct137170576711
935884200551
1012782337481
11546a329381
122588942061
131289272204
148938aa37b
154ec2a93c1
hex2f9e2fdc9

12782337481 has 9 divisors (see below), whose sum is σ = 12878359399. Its totient is φ = 12687028744.

The previous prime is 12782337479. The next prime is 12782337493. The reversal of 12782337481 is 18473328721.

The square root of 12782337481 is 113059.

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., 12706925625 + 75411856 = 112725^2 + 8684^2 .

It is not a de Polignac number, because 12782337481 - 21 = 12782337479 is a prime.

It is a super-2 number, since 2×127823374812 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12782337431) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 18880515 + ... + 18881191.

Almost surely, 212782337481 is an apocalyptic number.

12782337481 is the 113059-th square number.

12782337481 is the 56530-th centered octagonal number.

It is an amenable number.

12782337481 is a deficient number, since it is larger than the sum of its proper divisors (96021918).

12782337481 is an frugal number, since it uses more digits than its factorization.

12782337481 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1688 (or 844 counting only the distinct ones).

The product of its digits is 451584, while the sum is 46.

The spelling of 12782337481 in words is "twelve billion, seven hundred eighty-two million, three hundred thirty-seven thousand, four hundred eighty-one".

Divisors: 1 167 677 27889 113059 458329 18880853 76540943 12782337481