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85303427697 = 341053128737
BaseRepresentation
bin100111101110001111…
…0110000001001110001
322011011221110010010000
41033130132300021301
52344200134141242
6103104324300213
76106620112635
oct1173436601161
9264157403100
1085303427697
11331a4619884
1214647b41669
138075ac1707
1441b3262dc5
152343daea4c
hex13dc7b0271

85303427697 has 10 divisors (see below), whose sum is σ = 127428577298. Its totient is φ = 56868951744.

The previous prime is 85303427647. The next prime is 85303427701. The reversal of 85303427697 is 79672430358.

85303427697 is a `hidden beast` number, since 8 + 530 + 3 + 42 + 7 + 69 + 7 = 666.

It can be written as a sum of positive squares in only one way, i.e., 83822409441 + 1481018256 = 289521^2 + 38484^2 .

It is not a de Polignac number, because 85303427697 - 226 = 85236318833 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (85303427647) by changing a digit.

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 9 ways as a sum of consecutive naturals, for example, 526564288 + ... + 526564449.

Almost surely, 285303427697 is an apocalyptic number.

It is an amenable number.

85303427697 is a deficient number, since it is larger than the sum of its proper divisors (42125149601).

85303427697 is a wasteful number, since it uses less digits than its factorization.

85303427697 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1053128749 (or 1053128740 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 85303427697 in words is "eighty-five billion, three hundred three million, four hundred twenty-seven thousand, six hundred ninety-seven".

Divisors: 1 3 9 27 81 1053128737 3159386211 9478158633 28434475899 85303427697