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20005150041 = 341371802753
BaseRepresentation
bin10010101000011001…
…100101110101011001
31220122012012220210000
4102220121211311121
5311432304300131
613105031443213
71305513653412
oct225031456531
956565186700
1020005150041
118536427358
123a63826509
131b6a78bab6
14d7ac66809
157c1436ce6
hex4a8665d59

20005150041 has 20 divisors (see below), whose sum is σ = 30102386292. Its totient is φ = 13239410688.

The previous prime is 20005150037. The next prime is 20005150057. The reversal of 20005150041 is 14005150002.

It can be written as a sum of positive squares in 2 ways, for example, as 7988605641 + 12016544400 = 89379^2 + 109620^2 .

It is not a de Polignac number, because 20005150041 - 22 = 20005150037 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 20005149996 and 20005150023.

It is not an unprimeable number, because it can be changed into a prime (20005157041) 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 19 ways as a sum of consecutive naturals, for example, 890280 + ... + 912473.

Almost surely, 220005150041 is an apocalyptic number.

It is an amenable number.

20005150041 is a deficient number, since it is larger than the sum of its proper divisors (10097236251).

20005150041 is a wasteful number, since it uses less digits than its factorization.

20005150041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1802902 (or 1802893 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The spelling of 20005150041 in words is "twenty billion, five million, one hundred fifty thousand, forty-one".

Divisors: 1 3 9 27 81 137 411 1233 3699 11097 1802753 5408259 16224777 48674331 146022993 246977161 740931483 2222794449 6668383347 20005150041