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82642711542117 = 31032572696316131
BaseRepresentation
bin10010110010100111000001…
…011101101111100101100101
3101211121120021122212002002120
4102302213001131233211211
541313004233123321432
6451433312040300153
723256511301442006
oct2262470135574545
9354546248762076
1082642711542117
11243726391a1261
129328864a71659
133716235b0151c
141659d000511ad
15984ad7330c2c
hex4b29c176f965

82642711542117 has 64 divisors (see below), whose sum is σ = 112304206909440. Its totient is φ = 54051275980800.

The previous prime is 82642711542089. The next prime is 82642711542119. The reversal of 82642711542117 is 71124511724628.

It is not a de Polignac number, because 82642711542117 - 28 = 82642711541861 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 82642711542117.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82642711542119) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13479480142 + ... + 13479486272.

It is an arithmetic number, because the mean of its divisors is an integer number (1754753232960).

Almost surely, 282642711542117 is an apocalyptic number.

It is an amenable number.

82642711542117 is a deficient number, since it is larger than the sum of its proper divisors (29661495367323).

82642711542117 is a wasteful number, since it uses less digits than its factorization.

82642711542117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7394.

The product of its digits is 1505280, while the sum is 51.

The spelling of 82642711542117 in words is "eighty-two trillion, six hundred forty-two billion, seven hundred eleven million, five hundred forty-two thousand, one hundred seventeen".

Divisors: 1 3 103 257 269 309 631 771 807 1893 6131 18393 26471 27707 64993 69133 79413 83121 162167 169739 194979 207399 486501 509217 631493 1575667 1649239 1894479 3868661 4727001 4947717 7120699 11605983 16703201 17483117 21362097 43622923 50109603 52449351 130868769 162293701 169871617 398472083 423854423 486881103 509614851 994245877 1040669809 1195416249 1271563269 2982737631 3122009427 4493161069 13479483207 43657005569 102407325331 107188990327 130971016707 267452140913 307221975993 321566970981 802356422739 27547570514039 82642711542117