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8632812000349 is a prime number
BaseRepresentation
bin111110110011111101110…
…1100010101010001011101
31010120021210111210210000201
41331213323230111101131
52112414444333002344
630205505321223501
71550462062161655
oct175477354252135
933507714723021
108632812000349
112829178354299
12b7511b331b91
134a80bc385b94
1421bb8a5d7365
15ee85c7174d4
hex7d9fbb1545d

8632812000349 has 2 divisors, whose sum is σ = 8632812000350. Its totient is φ = 8632812000348.

The previous prime is 8632812000343. The next prime is 8632812000413. The reversal of 8632812000349 is 9430002182368.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8627114468025 + 5697532324 = 2937195^2 + 75482^2 .

It is a cyclic number.

It is not a de Polignac number, because 8632812000349 - 27 = 8632812000221 is a prime.

It is a super-2 number, since 2×86328120003492 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 8632812000299 and 8632812000308.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (8632812000343) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4316406000174 + 4316406000175.

It is an arithmetic number, because the mean of its divisors is an integer number (4316406000175).

Almost surely, 28632812000349 is an apocalyptic number.

It is an amenable number.

8632812000349 is a deficient number, since it is larger than the sum of its proper divisors (1).

8632812000349 is an equidigital number, since it uses as much as digits as its factorization.

8632812000349 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 497664, while the sum is 46.

The spelling of 8632812000349 in words is "eight trillion, six hundred thirty-two billion, eight hundred twelve million, three hundred forty-nine", and thus it is an aban number.