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4829586401 is a prime number
BaseRepresentation
bin1000111111101110…
…11010001111100001
3110110120201102001102
410133313122033201
534342333231101
62115122444145
7230452543553
oct43767321741
913416642042
104829586401
1120591a2822
12b29503655
135bc763243
1433b5c14d3
151d3ee386b
hex11fdda3e1

4829586401 has 2 divisors, whose sum is σ = 4829586402. Its totient is φ = 4829586400.

The previous prime is 4829586361. The next prime is 4829586403. The reversal of 4829586401 is 1046859284.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3510444001 + 1319142400 = 59249^2 + 36320^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-4829586401 is a prime.

Together with 4829586403, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (4829586403) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2414793200 + 2414793201.

It is an arithmetic number, because the mean of its divisors is an integer number (2414793201).

Almost surely, 24829586401 is an apocalyptic number.

It is an amenable number.

4829586401 is a deficient number, since it is larger than the sum of its proper divisors (1).

4829586401 is an equidigital number, since it uses as much as digits as its factorization.

4829586401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 552960, while the sum is 47.

The square root of 4829586401 is about 69495.2257424926. The cubic root of 4829586401 is about 1690.3240862778.

The spelling of 4829586401 in words is "four billion, eight hundred twenty-nine million, five hundred eighty-six thousand, four hundred one".