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82341222214328 = 23711133670815283
BaseRepresentation
bin10010101110001110001111…
…010011001110101010111000
3101210112202002100111100200222
4102232032033103032222320
541243034310341324303
6451043011341515212
723225646150440660
oct2256161723165270
9353482070440628
1082341222214328
1124266797343a50
12929a344872b08
1336c398957918c
14164949d1c71a0
1597bd3e034938
hex4ae38f4ceab8

82341222214328 has 32 divisors (see below), whose sum is σ = 192485974008960. Its totient is φ = 32080995667680.

The previous prime is 82341222214283. The next prime is 82341222214333.

82341222214328 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

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, 66835407026 + ... + 66835408257.

It is an arithmetic number, because the mean of its divisors is an integer number (6015186687780).

Almost surely, 282341222214328 is an apocalyptic number.

82341222214328 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

82341222214328 is an abundant number, since it is smaller than the sum of its proper divisors (110144751794632).

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

82341222214328 is a wasteful number, since it uses less digits than its factorization.

82341222214328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133670815307 (or 133670815303 counting only the distinct ones).

The product of its digits is 589824, while the sum is 44.

The spelling of 82341222214328 in words is "eighty-two trillion, three hundred forty-one billion, two hundred twenty-two million, two hundred fourteen thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 154 308 616 133670815283 267341630566 534683261132 935695706981 1069366522264 1470378968113 1871391413962 2940757936226 3742782827924 5881515872452 7485565655848 10292652776791 11763031744904 20585305553582 41170611107164 82341222214328