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20566141281 = 327268292
BaseRepresentation
bin10011001001110101…
…100110100101100001
31222002021211020002100
4103021311212211201
5314104413010111
613240431441013
71325435213400
oct231165464541
958067736070
1020566141281
1187a4061384
123b9b686169
131c29a7a08a
14dd1577637
158057eb756
hex4c9d66961

20566141281 has 27 divisors (see below), whose sum is σ = 34561774611. Its totient is φ = 11750359824.

The previous prime is 20566141259. The next prime is 20566141301. The reversal of 20566141281 is 18214166502.

It is a happy number.

The square root of 20566141281 is 143409.

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

20566141281 is a `hidden beast` number, since 2 + 0 + 566 + 1 + 4 + 12 + 81 = 666.

It can be written as a sum of positive squares in only one way, i.e., 11153260881 + 9412880400 = 105609^2 + 97020^2 .

It is not a de Polignac number, because 20566141281 - 29 = 20566140769 is a prime.

It is a super-2 number, since 2×205661412812 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20566141201) 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, 3008175 + ... + 3015003.

Almost surely, 220566141281 is an apocalyptic number.

20566141281 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

20566141281 is the 143409-th square number.

20566141281 is the 71705-th centered octagonal number.

It is an amenable number.

20566141281 is a deficient number, since it is larger than the sum of its proper divisors (13995633330).

20566141281 is an frugal number, since it uses more digits than its factorization.

20566141281 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13678 (or 6839 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

Multiplying 20566141281 by its sum of digits (36), we get a square (740381086116 = 8604542).

The spelling of 20566141281 in words is "twenty billion, five hundred sixty-six million, one hundred forty-one thousand, two hundred eighty-one".

Divisors: 1 3 7 9 21 49 63 147 441 6829 20487 47803 61461 143409 334621 430227 1003863 3011589 46635241 139905723 326446687 419717169 979340061 2285126809 2938020183 6855380427 20566141281