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85434170913 = 32713104315227
BaseRepresentation
bin100111110010001000…
…1011111111000100001
322011112001110120002100
41033210101133320201
52344432121432123
6103125314441013
76113065320330
oct1174421377041
9264461416070
1085434170913
11332613a9123
1214683893169
138096c0a570
1441c6777d17
1523505d8643
hex13e445fe21

85434170913 has 24 divisors (see below), whose sum is σ = 151882971968. Its totient is φ = 45064177632.

The previous prime is 85434170911. The next prime is 85434170923. The reversal of 85434170913 is 31907143458.

85434170913 is a `hidden beast` number, since 8 + 543 + 4 + 17 + 0 + 91 + 3 = 666.

It is not a de Polignac number, because 85434170913 - 21 = 85434170911 is a prime.

It is not an unprimeable number, because it can be changed into a prime (85434170911) 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 23 ways as a sum of consecutive naturals, for example, 52156795 + ... + 52158432.

Almost surely, 285434170913 is an apocalyptic number.

It is an amenable number.

85434170913 is a deficient number, since it is larger than the sum of its proper divisors (66448801055).

85434170913 is a wasteful number, since it uses less digits than its factorization.

85434170913 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104315253 (or 104315250 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 85434170913 in words is "eighty-five billion, four hundred thirty-four million, one hundred seventy thousand, nine hundred thirteen".

Divisors: 1 3 7 9 13 21 39 63 91 117 273 819 104315227 312945681 730206589 938837043 1356097951 2190619767 4068293853 6571859301 9492685657 12204881559 28478056971 85434170913