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9438390938349 = 321048710104261
BaseRepresentation
bin1000100101011000101111…
…1100000110101011101101
31020102022010200200221012200
42021112023330012223231
52214114311040011344
632023534213452113
71662621061156242
oct211261374065355
936368120627180
109438390938349
11300988769874a
121085282041039
135360620c40a9
14248b6b8835c9
151157aa6bd069
hex8958bf06aed

9438390938349 has 6 divisors (see below), whose sum is σ = 13633231355406. Its totient is φ = 6292260625560.

The previous prime is 9438390938321. The next prime is 9438390938351.

9438390938349 is a `hidden beast` number, since 9 + 4 + 38 + 390 + 93 + 83 + 49 = 666.

9438390938349 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 9239733534249 + 198657404100 = 3039693^2 + 445710^2 .

It is not a de Polignac number, because 9438390938349 - 236 = 9369671461613 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9438390939349) 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 5 ways as a sum of consecutive naturals, for example, 524355052122 + ... + 524355052139.

It is an arithmetic number, because the mean of its divisors is an integer number (2272205225901).

Almost surely, 29438390938349 is an apocalyptic number.

It is an amenable number.

9438390938349 is a deficient number, since it is larger than the sum of its proper divisors (4194840417057).

9438390938349 is a wasteful number, since it uses less digits than its factorization.

9438390938349 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1048710104267 (or 1048710104264 counting only the distinct ones).

The product of its (nonzero) digits is 544195584, while the sum is 72.

The spelling of 9438390938349 in words is "nine trillion, four hundred thirty-eight billion, three hundred ninety million, nine hundred thirty-eight thousand, three hundred forty-nine".

Divisors: 1 3 9 1048710104261 3146130312783 9438390938349