Base | Representation |
---|---|
bin | 1001000110011001011001… |
… | …11011111000001110000001 |
3 | 2121212000220110011222100100 |
4 | 10203030230323320032001 |
5 | 10110330020132320322 |
6 | 110320532434113013 |
7 | 4133514252655641 |
oct | 443145473701601 |
9 | 77760813158310 |
10 | 20011006526337 |
11 | 64156905531a2 |
12 | 22b232571b769 |
13 | b22050684b08 |
14 | 4d2775d4a521 |
15 | 24a7eb2b3dac |
hex | 12332cef8381 |
20011006526337 has 48 divisors (see below), whose sum is σ = 31112187277392. Its totient is φ = 12347948482560.
The previous prime is 20011006526321. The next prime is 20011006526363. The reversal of 20011006526337 is 73362560011002.
20011006526337 is a `hidden beast` number, since 2 + 0 + 0 + 1 + 10 + 0 + 6 + 5 + 2 + 633 + 7 = 666.
It can be written as a sum of positive squares in 8 ways, for example, as 271557441 + 20010734968896 = 16479^2 + 4473336^2 .
It is not a de Polignac number, because 20011006526337 - 24 = 20011006526321 is a prime.
It is not an unprimeable number, because it can be changed into a prime (20011006526377) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54480343 + ... + 54846419.
It is an arithmetic number, because the mean of its divisors is an integer number (648170568279).
Almost surely, 220011006526337 is an apocalyptic number.
It is an amenable number.
20011006526337 is a deficient number, since it is larger than the sum of its proper divisors (11101180751055).
20011006526337 is a wasteful number, since it uses less digits than its factorization.
20011006526337 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 372018 (or 372015 counting only the distinct ones).
The product of its (nonzero) digits is 45360, while the sum is 36.
Adding to 20011006526337 its reverse (73362560011002), we get a palindrome (93373566537339).
The spelling of 20011006526337 in words is "twenty trillion, eleven billion, six million, five hundred twenty-six thousand, three hundred thirty-seven".
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