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382528081856 = 26411451100469
BaseRepresentation
bin1011001000100000111…
…00110100111111000000
31100120101001001222002102
411210100130310333000
522231404142104411
6451421520205532
736431255022104
oct5442034647700
91316331058072
10382528081856
11138258147728
1262177a698a8
132a0c2945a3b
141472b95b904
159e3caa3d3b
hex5910734fc0

382528081856 has 56 divisors (see below), whose sum is σ = 778136934960. Its totient is φ = 186468608000.

The previous prime is 382528081843. The next prime is 382528081867. The reversal of 382528081856 is 658180825283.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 3757190 + ... + 3857658.

It is an arithmetic number, because the mean of its divisors is an integer number (13895302410).

Almost surely, 2382528081856 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 382528081856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389068467480).

382528081856 is an abundant number, since it is smaller than the sum of its proper divisors (395608853104).

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

382528081856 is a wasteful number, since it uses less digits than its factorization.

382528081856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101973 (or 101963 counting only the distinct ones).

The product of its (nonzero) digits is 7372800, while the sum is 56.

The spelling of 382528081856 in words is "three hundred eighty-two billion, five hundred twenty-eight million, eighty-one thousand, eight hundred fifty-six".

Divisors: 1 2 4 8 16 32 41 64 82 164 328 656 1312 1451 2624 2902 5804 11608 23216 46432 59491 92864 100469 118982 200938 237964 401876 475928 803752 951856 1607504 1903712 3215008 3807424 4119229 6430016 8238458 16476916 32953832 65907664 131815328 145780519 263630656 291561038 583122076 1166244152 2332488304 4664976608 5977001279 9329953216 11954002558 23908005116 47816010232 95632020464 191264040928 382528081856