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85648118361 = 3132243979093
BaseRepresentation
bin100111111000100000…
…1101001001001011001
322012001222001012210220
41033301001221021121
52400401404241421
6103202440230253
76121303664661
oct1176101511131
9265058035726
1085648118361
1133361147aa3
121472346b389
1380cc3390a0
144206d4b1a1
15236429a3c6
hex13f1069259

85648118361 has 16 divisors (see below), whose sum is σ = 123036868416. Its totient is φ = 52682982336.

The previous prime is 85648118351. The next prime is 85648118389. The reversal of 85648118361 is 16381184658.

It is not a de Polignac number, because 85648118361 - 213 = 85648110169 is a prime.

It is a super-3 number, since 3×856481183613 (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (85648118341) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 402070 + ... + 577023.

It is an arithmetic number, because the mean of its divisors is an integer number (7689804276).

Almost surely, 285648118361 is an apocalyptic number.

It is an amenable number.

85648118361 is a deficient number, since it is larger than the sum of its proper divisors (37388750055).

85648118361 is a wasteful number, since it uses less digits than its factorization.

85648118361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 981352.

The product of its digits is 1105920, while the sum is 51.

The spelling of 85648118361 in words is "eighty-five billion, six hundred forty-eight million, one hundred eighteen thousand, three hundred sixty-one".

Divisors: 1 3 13 39 2243 6729 29159 87477 979093 2937279 12728209 38184627 2196105599 6588316797 28549372787 85648118361