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82605105127064 = 23131207365789767
BaseRepresentation
bin10010110010000011111111…
…111100101001111010011000
3101211110222012210202020212102
4102302003333330221322120
541311400223403031224
6451404132244302532
723254010340255662
oct2262037774517230
9354428183666772
1082605105127064
11243586a0373aa3
12932150a6a1a48
1337128218cca20
141658173713532
15983b35a544ae
hex4b20fff29e98

82605105127064 has 32 divisors (see below), whose sum is σ = 166812588354720. Its totient is φ = 38122274647296.

The previous prime is 82605105127037. The next prime is 82605105127087. The reversal of 82605105127064 is 46072150150628.

82605105127064 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31639292 + ... + 34150475.

It is an arithmetic number, because the mean of its divisors is an integer number (5212893386085).

Almost surely, 282605105127064 is an apocalyptic number.

It is an amenable number.

82605105127064 is an abundant number, since it is smaller than the sum of its proper divisors (84207483227656).

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

82605105127064 is a wasteful number, since it uses less digits than its factorization.

82605105127064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65801859 (or 65801855 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 47.

The spelling of 82605105127064 in words is "eighty-two trillion, six hundred five billion, one hundred five million, one hundred twenty-seven thousand, sixty-four".

Divisors: 1 2 4 8 13 26 52 104 12073 24146 48292 96584 156949 313898 627796 1255592 65789767 131579534 263159068 526318136 855266971 1710533942 3421067884 6842135768 794279856991 1588559713982 3177119427964 6354238855928 10325638140883 20651276281766 41302552563532 82605105127064