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85109714176 = 28615450161
BaseRepresentation
bin100111101000011101…
…1110010110100000000
322010200102221110010011
41033100323302310000
52343301041323201
6103033204314304
76102045430324
oct1172073626400
9263612843104
1085109714176
113310523aa63
12145b30a2994
138044928926
144195639984
152331d98151
hex13d0ef2d00

85109714176 has 36 divisors (see below), whose sum is σ = 172672032484. Its totient is φ = 41857228800.

The previous prime is 85109714161. The next prime is 85109714189. The reversal of 85109714176 is 67141790158.

It can be written as a sum of positive squares in 2 ways, for example, as 1009714176 + 84100000000 = 31776^2 + 290000^2 .

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 2709465 + ... + 2740696.

Almost surely, 285109714176 is an apocalyptic number.

It is an amenable number.

85109714176 is an abundant number, since it is smaller than the sum of its proper divisors (87562318308).

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

85109714176 is an equidigital number, since it uses as much as digits as its factorization.

85109714176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5450238 (or 5450224 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 49.

The spelling of 85109714176 in words is "eighty-five billion, one hundred nine million, seven hundred fourteen thousand, one hundred seventy-six".

Divisors: 1 2 4 8 16 32 61 64 122 128 244 256 488 976 1952 3904 7808 15616 5450161 10900322 21800644 43601288 87202576 174405152 332459821 348810304 664919642 697620608 1329839284 1395241216 2659678568 5319357136 10638714272 21277428544 42554857088 85109714176