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76146329220 = 223513339128789
BaseRepresentation
bin100011011101010101…
…1001100011010000100
321021112202202022111120
41012322223030122010
52221421430013340
654551532033540
75333656055553
oct1067253143204
9237482668446
1076146329220
112a3256881a5
12129113028b0
137246928550
143985035d9a
151eaa0004d0
hex11baacc684

76146329220 has 96 divisors (see below), whose sum is σ = 229686159360. Its totient is φ = 18737533440.

The previous prime is 76146329213. The next prime is 76146329251. The reversal of 76146329220 is 2292364167.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2630586 + ... + 2659374.

It is an arithmetic number, because the mean of its divisors is an integer number (2392564160).

Almost surely, 276146329220 is an apocalyptic number.

It is an amenable number.

76146329220 is an abundant number, since it is smaller than the sum of its proper divisors (153539830140).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

76146329220 is a wasteful number, since it uses less digits than its factorization.

76146329220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32205 (or 32203 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 42.

The spelling of 76146329220 in words is "seventy-six billion, one hundred forty-six million, three hundred twenty-nine thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 3391 6782 10173 13564 16955 20346 28789 33910 40692 44083 50865 57578 67820 86367 88166 101730 115156 132249 143945 172734 176332 203460 220415 264498 287890 345468 374257 431835 440830 528996 575780 661245 748514 863670 881660 1122771 1322490 1497028 1727340 1871285 2245542 2644980 3742570 4491084 5613855 7485140 11227710 22455420 97623499 195246998 292870497 390493996 488117495 585740994 976234990 1171481988 1269105487 1464352485 1952469980 2538210974 2928704970 3807316461 5076421948 5857409940 6345527435 7614632922 12691054870 15229265844 19036582305 25382109740 38073164610 76146329220