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8386064973 = 33111353107383
BaseRepresentation
bin1111100111101100…
…10011001001001101
3210122102212020111000
413303312103021031
5114133313034343
63504050250513
7414546243006
oct76366231115
923572766430
108386064973
113613795810
121760586a39
13a38515a30
14597a821ad
15341359ed3
hex1f3d9324d

8386064973 has 128 divisors (see below), whose sum is σ = 15049359360. Its totient is φ = 4548061440.

The previous prime is 8386064969. The next prime is 8386064987. The reversal of 8386064973 is 3794606838.

8386064973 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 8386064973 - 22 = 8386064969 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8386064923) 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 127 ways as a sum of consecutive naturals, for example, 21895540 + ... + 21895922.

It is an arithmetic number, because the mean of its divisors is an integer number (117573120).

Almost surely, 28386064973 is an apocalyptic number.

It is an amenable number.

8386064973 is a deficient number, since it is larger than the sum of its proper divisors (6663294387).

8386064973 is a wasteful number, since it uses less digits than its factorization.

8386064973 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576 (or 570 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The square root of 8386064973 is about 91575.4605393825. The cubic root of 8386064973 is about 2031.6680033122.

The spelling of 8386064973 in words is "eight billion, three hundred eighty-six million, sixty-four thousand, nine hundred seventy-three".

Divisors: 1 3 9 11 13 27 33 39 53 99 107 117 143 159 297 321 351 383 429 477 583 689 963 1149 1177 1287 1391 1431 1749 2067 2889 3447 3531 3861 4173 4213 4979 5247 5671 6201 7579 10341 10593 12519 12639 14937 15301 15741 17013 18603 20299 22737 31779 37557 37917 40981 44811 45903 51039 54769 60897 62381 68211 73723 113751 122943 134433 137709 153117 164307 182691 187143 204633 221169 223289 263887 368829 413127 450791 492921 532753 548073 561429 663507 669867 791661 810953 1106487 1352373 1478763 1598259 1684287 1990521 2009601 2171993 2374983 2432859 2902757 4057119 4794777 5860283 6028803 6515979 7124949 7298577 8708271 12171357 14384331 17580849 19547937 21895731 23891923 26124813 28235909 52742547 58643811 71675769 78374439 84707727 158227641 215027307 254123181 310594999 645081921 762369543 931784997 2795354991 8386064973