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20592799609041 = 3211217280892
BaseRepresentation
bin1001010111010101000101…
…00000010111000011010001
32200220122121121111210122100
410223222202200113003101
510144343023144442131
6111444111311031013
74223531525404302
oct453524240270321
980818547453570
1020592799609041
11661a3a2587300
122387032b0b469
13b64b7b27507a
145129a81007a9
1525a9eca047e6
hex12baa28170d1

20592799609041 has 81 divisors (see below), whose sum is σ = 34735754158833. Its totient is φ = 11744886320640.

The previous prime is 20592799609033. The next prime is 20592799609043. The reversal of 20592799609041 is 14090699729502.

The square root of 20592799609041 is 4537929.

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 2830823075025 + 17761976534016 = 1682505^2 + 4214496^2 .

It is not a de Polignac number, because 20592799609041 - 23 = 20592799609033 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 20592799609041.

It is not an unprimeable number, because it can be changed into a prime (20592799609043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2545774125 + ... + 2545782213.

Almost surely, 220592799609041 is an apocalyptic number.

20592799609041 is the 4537929-th square number.

20592799609041 is the 2268965-th centered octagonal number.

It is an amenable number.

20592799609041 is a deficient number, since it is larger than the sum of its proper divisors (14142954549792).

20592799609041 is an frugal number, since it uses more digits than its factorization.

20592799609041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16240 (or 8120 counting only the distinct ones).

The product of its (nonzero) digits is 22044960, while the sum is 63.

The spelling of 20592799609041 in words is "twenty trillion, five hundred ninety-two billion, seven hundred ninety-nine million, six hundred nine thousand, forty-one".

Divisors: 1 3 9 11 17 33 51 99 121 153 187 289 363 561 867 1089 1683 2057 2601 3179 6171 8089 9537 18513 24267 28611 34969 72801 88979 104907 137513 266937 314721 412539 800811 978769 1237617 1512643 2337721 2936307 4537929 7013163 8808921 13613787 16639073 21039489 25714931 49917219 65431921 77144793 149751657 196295763 231434379 282864241 588887289 719751131 848592723 1112342657 2159253393 2545778169 3337027971 6477760179 7917262441 10011083913 12235769227 18909825169 23751787323 36707307681 56729475507 71255361969 110121923043 134593461497 170188426521 208008076859 403780384491 624024230577 1211341153473 1872072691731 2288088845449 6864266536347 20592799609041