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85003340064 = 25346110491831
BaseRepresentation
bin100111100101010011…
…0000000100100100000
322010102000210002021020
41033022212000210200
52343041323340224
6103014444325440
76066314316606
oct1171246004440
9263360702236
1085003340064
1133060195575
1214583543880
138028892a76
144185469876
152327884c79
hex13ca980920

85003340064 has 96 divisors (see below), whose sum is σ = 223953206400. Its totient is φ = 28230604800.

The previous prime is 85003340033. The next prime is 85003340087. The reversal of 85003340064 is 46004330058.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 46423629 + ... + 46425459.

It is an arithmetic number, because the mean of its divisors is an integer number (2332845900).

Almost surely, 285003340064 is an apocalyptic number.

It is an amenable number.

85003340064 is an abundant number, since it is smaller than the sum of its proper divisors (138949866336).

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

85003340064 is a wasteful number, since it uses less digits than its factorization.

85003340064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3354 (or 3346 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The spelling of 85003340064 in words is "eighty-five billion, three million, three hundred forty thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 461 922 1049 1383 1831 1844 2098 2766 3147 3662 3688 4196 5493 5532 6294 7324 7376 8392 10986 11064 12588 14648 14752 16784 21972 22128 25176 29296 33568 43944 44256 50352 58592 87888 100704 175776 483589 844091 967178 1450767 1688182 1920719 1934356 2532273 2901534 3376364 3841438 3868712 5064546 5762157 5803068 6752728 7682876 7737424 10129092 11524314 11606136 13505456 15365752 15474848 20258184 23048628 23212272 27010912 30731504 40516368 46097256 46424544 61463008 81032736 92194512 184389024 885451459 1770902918 2656354377 3541805836 5312708754 7083611672 10625417508 14167223344 21250835016 28334446688 42501670032 85003340064