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838017002249 = 7217102387801
BaseRepresentation
bin11000011000111011011…
…01001010101100001001
32222010001211211112221222
430030131231022230021
5102212224323032444
61440551340411425
7114354561663200
oct14143555125411
92863054745858
10838017002249
112a3445829219
121164b6246b75
136104225868b
142c7bb422237
1516beab73eee
hexc31db4ab09

838017002249 has 6 divisors (see below), whose sum is σ = 974836104714. Its totient is φ = 718300287600.

The previous prime is 838017002237. The next prime is 838017002279. The reversal of 838017002249 is 942200710838.

It can be written as a sum of positive squares in only one way, i.e., 614436499600 + 223580502649 = 783860^2 + 472843^2 .

It is not a de Polignac number, because 838017002249 - 224 = 838000225033 is a prime.

It is a super-4 number, since 4×8380170022494 (a number of 49 digits) contains 4444 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (838017002279) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8551193852 + ... + 8551193949.

It is an arithmetic number, because the mean of its divisors is an integer number (162472684119).

Almost surely, 2838017002249 is an apocalyptic number.

It is an amenable number.

838017002249 is a deficient number, since it is larger than the sum of its proper divisors (136819102465).

838017002249 is a wasteful number, since it uses less digits than its factorization.

838017002249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17102387815 (or 17102387808 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 44.

The spelling of 838017002249 in words is "eight hundred thirty-eight billion, seventeen million, two thousand, two hundred forty-nine".

Divisors: 1 7 49 17102387801 119716714607 838017002249