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21736489489 = 11213210312
BaseRepresentation
bin10100001111100110…
…001000001000010001
32002002212001002000021
4110033212020020101
5324004020130424
613552520223441
71366436053321
oct241746101021
962085032007
1021736489489
119244755300
12426760ab81
13208538bc00
1410a2b89281
1587342b4e4
hex50f988211

21736489489 has 27 divisors (see below), whose sum is σ = 25896525627. Its totient is φ = 18222718800.

The previous prime is 21736489477. The next prime is 21736489517. The reversal of 21736489489 is 98498463712.

The square root of 21736489489 is 147433.

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., 3215457025 + 18521032464 = 56705^2 + 136092^2 .

It is not a de Polignac number, because 21736489489 - 27 = 21736489361 is a prime.

It is a super-2 number, since 2×217364894892 (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 (21736489409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 21082404 + ... + 21083434.

Almost surely, 221736489489 is an apocalyptic number.

21736489489 is the 147433-rd square number.

21736489489 is the 73717-th centered octagonal number.

It is an amenable number.

21736489489 is a deficient number, since it is larger than the sum of its proper divisors (4160036138).

21736489489 is an equidigital number, since it uses as much as digits as its factorization.

21736489489 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2110 (or 1055 counting only the distinct ones).

The product of its digits is 20901888, while the sum is 61.

It can be divided in two parts, 21736 and 489489, that added together give a square (511225 = 7152).

The spelling of 21736489489 in words is "twenty-one billion, seven hundred thirty-six million, four hundred eighty-nine thousand, four hundred eighty-nine".

Divisors: 1 11 13 121 143 169 1031 1573 1859 11341 13403 20449 124751 147433 174239 1062961 1621763 1916629 11692571 13818493 21082919 128618281 152003423 179640409 1672037653 1976044499 21736489489