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82320737606327 = 111937411991304741
BaseRepresentation
bin10010101101111011001010…
…010100101001101010110111
3101210110210012202002110020202
4102231323022110221222313
541242220332311400302
6451025342541351115
723224322422234523
oct2255731224515267
9353423182073222
1082320737606327
1124259035310850
12929638856849b
1336c1a7367835c
1416484b87d4d83
1597b540991202
hex4adeca529ab7

82320737606327 has 64 divisors (see below), whose sum is σ = 99953675136000. Its totient is φ = 66961344384000.

The previous prime is 82320737606323. The next prime is 82320737606339. The reversal of 82320737606327 is 72360673702328.

It is not a de Polignac number, because 82320737606327 - 22 = 82320737606323 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82320737606323) 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, 62441177 + ... + 63745917.

It is an arithmetic number, because the mean of its divisors is an integer number (1561776174000).

Almost surely, 282320737606327 is an apocalyptic number.

82320737606327 is a deficient number, since it is larger than the sum of its proper divisors (17632937529673).

82320737606327 is a wasteful number, since it uses less digits than its factorization.

82320737606327 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1305048.

The product of its (nonzero) digits is 21337344, while the sum is 56.

The spelling of 82320737606327 in words is "eighty-two trillion, three hundred twenty billion, seven hundred thirty-seven million, six hundred six thousand, three hundred twenty-seven".

Divisors: 1 11 19 37 41 199 209 407 451 703 779 1517 2189 3781 7363 7733 8159 8569 16687 28823 41591 80993 89749 139897 155021 301883 317053 1304741 1538867 1705231 3320713 5735777 14352151 24790079 48275417 53494381 63093547 259643459 272690869 531029587 588438191 917232923 1016393239 1979292097 2856078049 4933225721 9606807983 10089562153 10645381819 11180325629 21772213067 37606549843 54265482931 105674887813 117099200009 182529351677 202262254561 393879127303 413672048273 2007822868447 2224884800171 4332670400333 7483703418757 82320737606327