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82140672141 = 32119765313099
BaseRepresentation
bin100110001111111110…
…1110011000010001101
321212000112011111010100
41030133331303002031
52321211003002031
6101422423401313
75635344123153
oct1143775630215
9255015144110
1082140672141
11319212a4810
1213b048b3239
137990793418
143d931b13d3
15220b3bbde6
hex131ff7308d

82140672141 has 48 divisors (see below), whose sum is σ = 130978411200. Its totient is φ = 49189800960.

The previous prime is 82140672077. The next prime is 82140672143. The reversal of 82140672141 is 14127604128.

It is a happy number.

It is not a de Polignac number, because 82140672141 - 26 = 82140672077 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 82140672096 and 82140672105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82140672143) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6264210 + ... + 6277308.

It is an arithmetic number, because the mean of its divisors is an integer number (2728716900).

Almost surely, 282140672141 is an apocalyptic number.

It is an amenable number.

82140672141 is a deficient number, since it is larger than the sum of its proper divisors (48837739059).

82140672141 is a wasteful number, since it uses less digits than its factorization.

82140672141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13866 (or 13863 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 82140672141 in words is "eighty-two billion, one hundred forty million, six hundred seventy-two thousand, one hundred forty-one".

Divisors: 1 3 9 11 33 97 99 291 653 873 1067 1959 3201 5877 7183 9603 13099 21549 39297 63341 64647 117891 144089 190023 432267 570069 696751 1270603 1296801 2090253 3811809 6270759 8553647 11435427 13976633 25660941 41929899 76982823 94090117 125789697 282270351 829703759 846811053 2489111277 7467333831 9126741349 27380224047 82140672141