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20245581241081 = 72172378112
BaseRepresentation
bin1001001101001110010101…
…01011011001101011111001
32122200110101100220011002021
410212213022223121223321
510123200422244203311
6111020405220234441
74156460243103400
oct446471253315371
978613340804067
1020245581241081
1164a611489a309
12232b89023ba21
13b3b1c4a72381
144ddc69c70637
15251979cad171
hex1269caad9af9

20245581241081 has 27 divisors (see below), whose sum is σ = 25018487117967. Its totient is φ = 16332137787840.

The previous prime is 20245581241063. The next prime is 20245581241147. The reversal of 20245581241081 is 18014218554202.

The square root of 20245581241081 is 4499509.

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., 15762130724025 + 4483450517056 = 3970155^2 + 2117416^2 .

It is not a de Polignac number, because 20245581241081 - 227 = 20245447023353 is a prime.

It is a super-2 number, since 2×202455812410812 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20245581244081) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 535422666 + ... + 535460476.

Almost surely, 220245581241081 is an apocalyptic number.

20245581241081 is the 4499509-th square number.

20245581241081 is the 2249755-th centered octagonal number.

It is an amenable number.

20245581241081 is a deficient number, since it is larger than the sum of its proper divisors (4772905876886).

20245581241081 is an frugal number, since it uses more digits than its factorization.

20245581241081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75670 (or 37835 counting only the distinct ones).

The product of its (nonzero) digits is 204800, while the sum is 43.

Adding to 20245581241081 its reverse (18014218554202), we get a palindrome (38259799795283).

The spelling of 20245581241081 in words is "twenty trillion, two hundred forty-five billion, five hundred eighty-one million, two hundred forty-one thousand, eighty-one".

Divisors: 1 7 17 49 119 289 833 2023 14161 37811 264677 642787 1852739 4499509 10927379 31496563 76491653 535441571 1429671721 10007702047 24304419257 70053914329 170130934799 413175127369 1190916543593 2892225891583 20245581241081