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85429396105 = 5291015833349
BaseRepresentation
bin100111110001111111…
…1010010001010001001
322011111201110222021121
41033203333102022021
52344424411133410
6103125024235241
76113006612524
oct1174377221211
9264451428247
1085429396105
11332597377a9
121468216bb21
138095c28131
1441c5c93bbb
15234ee939da
hex13e3fd2289

85429396105 has 16 divisors (see below), whose sum is σ = 107100306000. Its totient is φ = 65333497600.

The previous prime is 85429396099. The next prime is 85429396123. The reversal of 85429396105 is 50169392458.

It can be written as a sum of positive squares in 8 ways, for example, as 648262521 + 84781133584 = 25461^2 + 291172^2 .

It is not a de Polignac number, because 85429396105 - 29 = 85429395593 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2902030 + ... + 2931319.

It is an arithmetic number, because the mean of its divisors is an integer number (6693769125).

Almost surely, 285429396105 is an apocalyptic number.

It is an amenable number.

85429396105 is a deficient number, since it is larger than the sum of its proper divisors (21670909895).

85429396105 is a wasteful number, since it uses less digits than its factorization.

85429396105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5833484.

The product of its (nonzero) digits is 2332800, while the sum is 52.

The spelling of 85429396105 in words is "eighty-five billion, four hundred twenty-nine million, three hundred ninety-six thousand, one hundred five".

Divisors: 1 5 29 101 145 505 2929 14645 5833349 29166745 169167121 589168249 845835605 2945841245 17085879221 85429396105