Base | Representation |
---|---|
bin | 110000010001010010… |
… | …001111110110011101 |
3 | 11221210002112200010101 |
4 | 300101102033312131 |
5 | 1322121334304431 |
6 | 35451000141101 |
7 | 3513246235306 |
oct | 602122176635 |
9 | 157702480111 |
10 | 51829603741 |
11 | 1aa87507463 |
12 | a065767791 |
13 | 4b6cb265a6 |
14 | 27197117ad |
15 | 15352e9961 |
hex | c1148fd9d |
51829603741 has 4 divisors (see below), whose sum is σ = 51830086684. Its totient is φ = 51829120800.
The previous prime is 51829603711. The next prime is 51829603747. The reversal of 51829603741 is 14730692815.
51829603741 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
51829603741 is a nontrivial binomial coefficient, being equal to C(321962, 2).
It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.
It can be written as a sum of positive squares in 2 ways, for example, as 35956123641 + 15873480100 = 189621^2 + 125990^2 .
It is a 3-Lehmer number, since φ(51829603741) divides (51829603741-1)3.
It is a cyclic number.
It is not a de Polignac number, because 51829603741 - 215 = 51829570973 is a prime.
It is a deceptive number, since it divides R51829603740.
It is a junction number, because it is equal to n+sod(n) for n = 51829603691 and 51829603700.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (51829603747) by changing a digit.
It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1 + ... + 321961.
It is an arithmetic number, because the mean of its divisors is an integer number (12957521671).
It is a 2-persistent number, because it is pandigital, and so is 2⋅51829603741 = 103659207482, but 3⋅51829603741 = 155488811223 is not.
It is a Poulet number, since it divides 251829603740-1.
Almost surely, 251829603741 is an apocalyptic number.
51829603741 is the 321961-st triangular number and also the 160981-st hexagonal number.
51829603741 is the 107321-st centered nonagonal number.
It is an amenable number.
51829603741 is a deficient number, since it is larger than the sum of its proper divisors (482943).
51829603741 is a wasteful number, since it uses less digits than its factorization.
51829603741 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 482942.
The product of its (nonzero) digits is 362880, while the sum is 46.
The spelling of 51829603741 in words is "fifty-one billion, eight hundred twenty-nine million, six hundred three thousand, seven hundred forty-one".
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