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82738176282027 = 32761160926175113
BaseRepresentation
bin10010110011111111111011…
…100110110100110110101011
3101211221200200202121100002100
4102303333323212310312223
541321040241112011102
6451545220553104443
723266431065362620
oct2263777346646653
9354850622540070
1082738176282027
11243aa077593322
1293432679b8123
13372223ab401c6
141660798a28347
15987323314a1c
hex4b3ffb9b4dab

82738176282027 has 96 divisors (see below), whose sum is σ = 138989268978560. Its totient is φ = 46448145653760.

The previous prime is 82738176282023. The next prime is 82738176282029. The reversal of 82738176282027 is 72028267183728.

82738176282027 is a `hidden beast` number, since 8 + 27 + 381 + 7 + 6 + 28 + 202 + 7 = 666.

It is not a de Polignac number, because 82738176282027 - 22 = 82738176282023 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (82738176282023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16181921223 + ... + 16181926335.

Almost surely, 282738176282027 is an apocalyptic number.

82738176282027 is a deficient number, since it is larger than the sum of its proper divisors (56251092696533).

82738176282027 is a wasteful number, since it uses less digits than its factorization.

82738176282027 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9413 (or 9410 counting only the distinct ones).

The product of its (nonzero) digits is 50577408, while the sum is 63.

The spelling of 82738176282027 in words is "eighty-two trillion, seven hundred thirty-eight billion, one hundred seventy-six million, two hundred eighty-two thousand, twenty-seven".

Divisors: 1 3 7 9 21 61 63 183 427 549 1281 1609 2617 3843 4827 5113 7851 11263 14481 15339 18319 23553 33789 35791 46017 54957 98149 101367 107373 159637 164871 294447 311893 322119 478911 687043 883341 935679 1117459 1436733 2061129 2183251 2807037 3352377 4210753 6183387 6549753 8226817 10057131 12632259 13380721 19649259 24680451 29475271 37896777 40142163 57587719 74041353 88425813 93665047 120426489 172763157 256855933 265277439 280995141 501835837 518289471 770567799 816223981 842985423 1505507511 1797991531 2311703397 2448671943 3512850859 4516522533 5393974593 5713567867 7346015829 10538552577 16181923779 17140703601 21529580089 31615657731 51422110803 64588740267 150707060623 193766220801 452121181869 1313304385429 1356363545607 3939913156287 9193130698003 11819739468861 27579392094009 82738176282027