Search a number
-
+
20292909245 = 5721924792
BaseRepresentation
bin10010111001100011…
…010011100010111101
31221101020200121012022
4102321203103202331
5313024441043440
613153351245525
71315606611500
oct227143234275
957336617168
1020292909245
118673900084
123b240798a5
131bb529210b
14da7171137
157db828cb5
hex4b98d38bd

20292909245 has 54 divisors (see below), whose sum is σ = 29959166142. Its totient is φ = 13155240672.

The previous prime is 20292909229. The next prime is 20292909271. The reversal of 20292909245 is 54290929202.

It can be written as a sum of positive squares in only one way, i.e., 16234327396 + 4058581849 = 127414^2 + 63707^2 .

It is not a de Polignac number, because 20292909245 - 24 = 20292909229 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 20292909196 and 20292909205.

It is a congruent number.

It is an unprimeable number.

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 53 ways as a sum of consecutive naturals, for example, 42364916 + ... + 42365394.

It is an arithmetic number, because the mean of its divisors is an integer number (554799373).

Almost surely, 220292909245 is an apocalyptic number.

It is an amenable number.

20292909245 is a deficient number, since it is larger than the sum of its proper divisors (9666256897).

20292909245 is an frugal number, since it uses more digits than its factorization.

20292909245 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1015 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 44.

The spelling of 20292909245 in words is "twenty billion, two hundred ninety-two million, nine hundred nine thousand, two hundred forty-five".

Divisors: 1 5 7 19 35 49 95 133 245 361 479 665 931 1805 2395 2527 3353 4655 9101 12635 16765 17689 23471 45505 63707 88445 117355 172919 229441 318535 445949 864595 1147205 1210433 1606087 2229745 4359379 6052165 8030435 8473031 11242609 21796895 30515653 42365155 56213045 82828201 152578265 213609571 414141005 579797407 1068047855 2898987035 4058581849 20292909245