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8768399445 = 345133121733
BaseRepresentation
bin10000010101010001…
…10010100001010101
3211122002021211210000
420022220302201111
5120424202240240
64010025121513
7430201110531
oct101250624125
924562254700
108768399445
11379a595313
121848629299
13a997b0650
145d2768bc1
15364bce430
hex20aa32855

8768399445 has 120 divisors (see below), whose sum is σ = 17501005368. Its totient is φ = 4175089920.

The previous prime is 8768399443. The next prime is 8768399467. The reversal of 8768399445 is 5449938678.

8768399445 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 84768849 + 8683630596 = 9207^2 + 93186^2 .

It is not a de Polignac number, because 8768399445 - 21 = 8768399443 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8768399443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 5058799 + ... + 5060531.

Almost surely, 28768399445 is an apocalyptic number.

It is an amenable number.

8768399445 is a deficient number, since it is larger than the sum of its proper divisors (8732605923).

8768399445 is a wasteful number, since it uses less digits than its factorization.

8768399445 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1825 (or 1785 counting only the distinct ones).

The product of its digits is 52254720, while the sum is 63.

The square root of 8768399445 is about 93639.7321920562. The cubic root of 8768399445 is about 2062.0860074860.

The spelling of 8768399445 in words is "eight billion, seven hundred sixty-eight million, three hundred ninety-nine thousand, four hundred forty-five".

Divisors: 1 3 5 9 13 15 27 31 39 45 65 81 93 117 135 155 195 279 351 403 405 465 585 837 961 1053 1209 1395 1733 1755 2015 2511 2883 3627 4185 4805 5199 5265 6045 8649 8665 10881 12493 12555 14415 15597 18135 22529 25947 25995 32643 37479 43245 46791 53723 54405 62465 67587 77841 77985 112437 112645 129735 140373 161169 163215 187395 202761 233955 268615 337311 337935 389205 483507 562185 608283 698399 701865 805845 1011933 1013805 1450521 1665413 1686555 1824849 2095197 2417535 3041415 3491995 4351563 4996239 5059665 6285591 7252605 8327065 9124245 10475985 14988717 18856773 21650369 21757815 24981195 31427955 44966151 56570319 64951107 74943585 94283865 108251845 134898453 194853321 224830755 282851595 324755535 584559963 674492265 974266605 1753679889 2922799815 8768399445