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12918822921 = 347321732
BaseRepresentation
bin11000000100000010…
…11001100000001001
31020100100001012110000
430002001121200021
5202424204313141
65533531113213
7635066116524
oct140201314011
936310035400
1012918822921
11552a37a964
1226065a2809
1312ab61b924
148a7a77bbb
155092695b6
hex302059809

12918822921 has 45 divisors (see below), whose sum is σ = 19680227589. Its totient is φ = 8445466944.

The previous prime is 12918822887. The next prime is 12918822953. The reversal of 12918822921 is 12922881921.

The square root of 12918822921 is 113661.

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 3505942521 + 9412880400 = 59211^2 + 97020^2 .

It is not a de Polignac number, because 12918822921 - 215 = 12918790153 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12918822991) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 74675191 + ... + 74675363.

Almost surely, 212918822921 is an apocalyptic number.

12918822921 is the 113661-st square number.

12918822921 is the 56831-st centered octagonal number.

It is an amenable number.

12918822921 is a deficient number, since it is larger than the sum of its proper divisors (6761404668).

12918822921 is an frugal number, since it uses more digits than its factorization.

12918822921 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504 (or 249 counting only the distinct ones).

The product of its digits is 82944, while the sum is 45.

The spelling of 12918822921 in words is "twelve billion, nine hundred eighteen million, eight hundred twenty-two thousand, nine hundred twenty-one".

Divisors: 1 3 9 27 73 81 173 219 519 657 1557 1971 4671 5329 5913 12629 14013 15987 29929 37887 47961 89787 113661 143883 269361 340983 431649 808083 921917 1022949 2184817 2424249 2765751 6554451 8297253 19663353 24891759 58990059 74675277 159491641 176970177 478474923 1435424769 4306274307 12918822921