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82026121014 = 23317768111633
BaseRepresentation
bin100110001100100100…
…0110100011100110110
321211201112121200112000
41030121020310130312
52320442141333024
6101403212240130
75632453344645
oct1143110643466
9254645550460
1082026121014
1131872674862
1213a92470046
137972b266a6
143d81cb335c
1522012e0cc9
hex1319234736

82026121014 has 64 divisors (see below), whose sum is σ = 193044358080. Its totient is φ = 25728122880.

The previous prime is 82026121013. The next prime is 82026121019. The reversal of 82026121014 is 41012162028.

82026121014 is a `hidden beast` number, since 8 + 20 + 2 + 612 + 10 + 14 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82026121013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7045342 + ... + 7056974.

It is an arithmetic number, because the mean of its divisors is an integer number (3016318095).

Almost surely, 282026121014 is an apocalyptic number.

82026121014 is an abundant number, since it is smaller than the sum of its proper divisors (111018237066).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

82026121014 is a wasteful number, since it uses less digits than its factorization.

82026121014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19342 (or 19336 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

It can be divided in two parts, 8202 and 6121014, that added together give a palindrome (6129216).

The spelling of 82026121014 in words is "eighty-two billion, twenty-six million, one hundred twenty-one thousand, fourteen".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 102 153 306 459 918 7681 11633 15362 23043 23266 34899 46086 69129 69798 104697 130577 138258 197761 207387 209394 261154 314091 391731 395522 414774 593283 628182 783462 1175193 1186566 1779849 2350386 3525579 3559698 5339547 7051158 10679094 89353073 178706146 268059219 536118438 804177657 1519002241 1608355314 2412532971 3038004482 4557006723 4825065942 9114013446 13671020169 27342040338 41013060507 82026121014