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82341555514328 = 23111129828786089
BaseRepresentation
bin10010101110001110100011…
…001010101010101111011000
3101210112202221120122202100102
4102232032203022222233120
541243041001202424303
6451043104405354532
723225660335442045
oct2256164312525730
9353482846582312
1082341555514328
11242669484a21a0
12929a418408a48
1336c3a10636006
1416494d15881cc
1597bd5d420288
hex4ae3a32aabd8

82341555514328 has 32 divisors (see below), whose sum is σ = 168575090706000. Its totient is φ = 37394828290560.

The previous prime is 82341555514307. The next prime is 82341555514457.

82341555514328 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×823415555143282 (a number of 29 digits) contains 22 as substring.

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, 414293693 + ... + 414492396.

Almost surely, 282341555514328 is an apocalyptic number.

82341555514328 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

82341555514328 is an abundant number, since it is smaller than the sum of its proper divisors (86233535191672).

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

82341555514328 is a wasteful number, since it uses less digits than its factorization.

82341555514328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 828787235 (or 828787231 counting only the distinct ones).

The product of its digits is 23040000, while the sum is 56.

The spelling of 82341555514328 in words is "eighty-two trillion, three hundred forty-one billion, five hundred fifty-five million, five hundred fourteen thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 11 22 44 88 1129 2258 4516 9032 12419 24838 49676 99352 828786089 1657572178 3315144356 6630288712 9116646979 18233293958 36466587916 72933175832 935699494481 1871398988962 3742797977924 7485595955848 10292694439291 20585388878582 41170777757164 82341555514328