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20747809681 = 1723722292
BaseRepresentation
bin10011010100101010…
…100111001110010001
31222112221122221021121
4103110222213032101
5314442414402211
613310441322241
71333102321024
oct232452471621
958487587247
1020747809681
118887663555
124030496381
131c585b6481
14100b7471bb
15816734271
hex4d4aa7391

20747809681 has 27 divisors (see below), whose sum is σ = 22751185779. Its totient is φ = 18916616448.

The previous prime is 20747809679. The next prime is 20747809703. The reversal of 20747809681 is 18690874702.

The square root of 20747809681 is 144041.

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

It can be written as a sum of positive squares in 13 ways, for example, as 4517049681 + 16230760000 = 67209^2 + 127400^2 .

It is not a de Polignac number, because 20747809681 - 21 = 20747809679 is a prime.

It is a super-2 number, since 2×207478096812 (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 (20747809651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 90601675 + ... + 90601903.

Almost surely, 220747809681 is an apocalyptic number.

20747809681 is the 144041-st square number.

20747809681 is the 72021-st centered octagonal number.

It is an amenable number.

20747809681 is a deficient number, since it is larger than the sum of its proper divisors (2003376098).

20747809681 is an frugal number, since it uses more digits than its factorization.

20747809681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 52.

The spelling of 20747809681 in words is "twenty billion, seven hundred forty-seven million, eight hundred nine thousand, six hundred eighty-one".

Divisors: 1 17 37 229 289 629 1369 3893 8473 10693 23273 52441 66181 144041 313501 395641 891497 1940317 2448697 5329517 15155449 32985389 71791729 90601789 560751613 1220459393 20747809681