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82709744520141 = 3231372941199607
BaseRepresentation
bin10010110011100101011100…
…111100010000101111001101
3101211211222022022020011222100
4102303211130330100233031
541320104024044121031
6451524155421505313
723264403400366554
oct2263453474205715
9354758268204870
1082709744520141
11243990075a7852
129339852112239
13371c65963cc6b
14165d25c9a6d9b
1598670c213de6
hex4b395cf10bcd

82709744520141 has 24 divisors (see below), whose sum is σ = 119512978213824. Its totient is φ = 55119824847360.

The previous prime is 82709744520119. The next prime is 82709744520149. The reversal of 82709744520141 is 14102544790728.

It is a happy number.

82709744520141 is a `hidden beast` number, since 8 + 2 + 7 + 0 + 9 + 74 + 4 + 520 + 1 + 41 = 666.

It is not a de Polignac number, because 82709744520141 - 225 = 82709710965709 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82709744520149) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 830310960 + ... + 830410566.

It is an arithmetic number, because the mean of its divisors is an integer number (4979707425576).

Almost surely, 282709744520141 is an apocalyptic number.

It is an amenable number.

82709744520141 is a deficient number, since it is larger than the sum of its proper divisors (36803233693683).

82709744520141 is a wasteful number, since it uses less digits than its factorization.

82709744520141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132161 (or 132158 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 82709744520141 in words is "eighty-two trillion, seven hundred nine billion, seven hundred forty-four million, five hundred twenty thousand, one hundred forty-one".

Divisors: 1 3 9 3137 9411 28233 29411 88233 99607 264699 298821 896463 92262307 276786921 312467159 830360763 937401477 2812204431 2929541477 8788624431 26365873293 9189971613349 27569914840047 82709744520141