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82323144132328 = 23113049306818719
BaseRepresentation
bin10010101101111101011001…
…110000110100011011101000
3101210111000102110101122022101
4102231331121300310123220
541242240244344213303
6451030421425503144
723224436153331361
oct2255753160643350
9353430373348271
1082323144132328
112425a05a780410
12929693a4a1ab4
1336c206810a538
141648666272b68
1597b631da5d1d
hex4adf59c346e8

82323144132328 has 32 divisors (see below), whose sum is σ = 168443477280000. Its totient is φ = 37407338098560.

The previous prime is 82323144132293. The next prime is 82323144132331.

82323144132328 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 153141048 + ... + 153677671.

It is an arithmetic number, because the mean of its divisors is an integer number (5263858665000).

Almost surely, 282323144132328 is an apocalyptic number.

82323144132328 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

82323144132328 is an abundant number, since it is smaller than the sum of its proper divisors (86120333147672).

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

82323144132328 is a wasteful number, since it uses less digits than its factorization.

82323144132328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306821785 (or 306821781 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 46.

The spelling of 82323144132328 in words is "eighty-two trillion, three hundred twenty-three billion, one hundred forty-four million, one hundred thirty-two thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 11 22 44 88 3049 6098 12196 24392 33539 67078 134156 268312 306818719 613637438 1227274876 2454549752 3375005909 6750011818 13500023636 27000047272 935490274231 1870980548462 3741961096924 7483922193848 10290393016541 20580786033082 41161572066164 82323144132328