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8120067345 = 35513677673
BaseRepresentation
bin1111000111111111…
…00110010100010001
3202221220100011100000
413203333212110101
5113112214123340
63421425120213
7405136301505
oct74377462421
922856304300
108120067345
113497625865
1216a7489069
139c53918a0
14570600305
15327d15d30
hex1e3fe6511

8120067345 has 96 divisors (see below), whose sum is σ = 15955535232. Its totient is φ = 3937393152.

The previous prime is 8120067317. The next prime is 8120067353. The reversal of 8120067345 is 5437600218.

It is not a de Polignac number, because 8120067345 - 25 = 8120067313 is a prime.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 1054429 + ... + 1062101.

It is an arithmetic number, because the mean of its divisors is an integer number (166203492).

Almost surely, 28120067345 is an apocalyptic number.

It is an amenable number.

8120067345 is a deficient number, since it is larger than the sum of its proper divisors (7835467887).

8120067345 is a wasteful number, since it uses less digits than its factorization.

8120067345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7773 (or 7761 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 8120067345 is about 90111.4162856183. The cubic root of 8120067345 is about 2009.9559691847.

The spelling of 8120067345 in words is "eight billion, one hundred twenty million, sixty-seven thousand, three hundred forty-five".

Divisors: 1 3 5 9 13 15 27 39 45 65 67 81 117 135 195 201 243 335 351 405 585 603 871 1005 1053 1215 1755 1809 2613 3015 3159 4355 5265 5427 7673 7839 9045 13065 15795 16281 23019 23517 27135 38365 39195 69057 70551 81405 99749 115095 117585 207171 211653 299247 345285 352755 498745 514091 621513 897741 1035855 1058265 1496235 1542273 1864539 2570455 2693223 3107565 4488705 4626819 6683183 7711365 8079669 9322695 13466115 13880457 20049549 23134095 24239007 33415915 40398345 41641371 60148647 69402285 100247745 121195035 124924113 180445941 208206855 300743235 541337823 624620565 902229705 1624013469 2706689115 8120067345