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20016148041 = 3217130824497
BaseRepresentation
bin10010101001000011…
…100010111001001001
31220122221220200012100
4102221003202321021
5311443113214131
613110103304013
71306006310511
oct225103427111
956587820170
1020016148041
11854165930a
123a6744b009
131b6cb3c9a6
14d7c4ca841
157c23aa7e6
hex4a90e2e49

20016148041 has 12 divisors (see below), whose sum is σ = 30612932532. Its totient is φ = 12559151616.

The previous prime is 20016148039. The next prime is 20016148043. The reversal of 20016148041 is 14084161002.

It is a happy number.

20016148041 is a `hidden beast` number, since 2 + 0 + 0 + 1 + 614 + 8 + 0 + 41 = 666.

It is an interprime number because it is at equal distance from previous prime (20016148039) and next prime (20016148043).

It can be written as a sum of positive squares in 2 ways, for example, as 7494538041 + 12521610000 = 86571^2 + 111900^2 .

It is not a de Polignac number, because 20016148041 - 21 = 20016148039 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 20016147996 and 20016148014.

It is not an unprimeable number, because it can be changed into a prime (20016148043) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 65412096 + ... + 65412401.

It is an arithmetic number, because the mean of its divisors is an integer number (2551077711).

Almost surely, 220016148041 is an apocalyptic number.

It is an amenable number.

20016148041 is a deficient number, since it is larger than the sum of its proper divisors (10596784491).

20016148041 is a wasteful number, since it uses less digits than its factorization.

20016148041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130824520 (or 130824517 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The spelling of 20016148041 in words is "twenty billion, sixteen million, one hundred forty-eight thousand, forty-one".

Divisors: 1 3 9 17 51 153 130824497 392473491 1177420473 2224016449 6672049347 20016148041