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20033000505 = 325729085261
BaseRepresentation
bin10010101010000011…
…110101010000111001
31220201010121212102200
4102222003311100321
5312011422004010
613111504420413
71306302460200
oct225203652071
956633555380
1020033000505
118550119871
123a71017709
131b7349056b
14d80836237
157c3ad8cc0
hex4aa0f5439

20033000505 has 36 divisors (see below), whose sum is σ = 40393074852. Its totient is φ = 9157942080.

The previous prime is 20033000503. The next prime is 20033000521. The reversal of 20033000505 is 50500033002.

It can be written as a sum of positive squares in 2 ways, for example, as 13824821241 + 6208179264 = 117579^2 + 78792^2 .

It is not a de Polignac number, because 20033000505 - 21 = 20033000503 is a prime.

It is a super-2 number, since 2×200330005052 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20033000503) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4540426 + ... + 4544835.

It is an arithmetic number, because the mean of its divisors is an integer number (1122029857).

Almost surely, 220033000505 is an apocalyptic number.

It is an amenable number.

20033000505 is an abundant number, since it is smaller than the sum of its proper divisors (20360074347).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20033000505 is a wasteful number, since it uses less digits than its factorization.

20033000505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9085286 (or 9085276 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 18.

Adding to 20033000505 its reverse (50500033002), we get a palindrome (70533033507).

The spelling of 20033000505 in words is "twenty billion, thirty-three million, five hundred five", and thus it is an aban number.

Divisors: 1 3 5 7 9 15 21 35 45 49 63 105 147 245 315 441 735 2205 9085261 27255783 45426305 63596827 81767349 136278915 190790481 317984135 408836745 445177789 572371443 953952405 1335533367 2225888945 2861857215 4006600101 6677666835 20033000505