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393442244393 = 11192313196093
BaseRepresentation
bin1011011100110101111…
…11000011011100101001
31101121112122222212110112
411232122333003130221
522421232203310033
6500424520424105
740265602620002
oct5563277033451
91347478885415
10393442244393
11141948987570
1264303018035
132b141b47c93
14150852861a9
15a37ad39c48
hex5b9afc3729

393442244393 has 24 divisors (see below), whose sum is σ = 467601336576. Its totient is φ = 327919039200.

The previous prime is 393442244383. The next prime is 393442244407.

393442244393 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 393442244393 - 218 = 393441982249 is a prime.

It is a super-3 number, since 3×3934422443933 (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (393442244303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1474946 + ... + 1721147.

It is an arithmetic number, because the mean of its divisors is an integer number (19483389024).

Almost surely, 2393442244393 is an apocalyptic number.

It is an amenable number.

393442244393 is a deficient number, since it is larger than the sum of its proper divisors (74159092183).

393442244393 is a wasteful number, since it uses less digits than its factorization.

393442244393 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3196173 (or 3196154 counting only the distinct ones).

The product of its digits is 6718464, while the sum is 50.

The spelling of 393442244393 in words is "three hundred ninety-three billion, four hundred forty-two million, two hundred forty-four thousand, three hundred ninety-three".

Divisors: 1 11 19 31 209 341 361 589 3971 6479 11191 123101 3196093 35157023 60725767 99078883 667983437 1089867713 1153789573 1882498777 12691685303 20707486547 35767476763 393442244393