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382327042277 = 2925751298409
BaseRepresentation
bin1011001000001000111…
…01111011000011100101
31100112212000210002122002
411210010131323003211
522231001210323102
6451345535215045
736423264144635
oct5440435730345
91315760702562
10382327042277
11138164714714
1262120677485
132a0900b64cb
141470cd886c5
159e2a0e1902
hex590477b0e5

382327042277 has 8 divisors (see below), whose sum is σ = 397049693400. Its totient is φ = 367706988544.

The previous prime is 382327042259. The next prime is 382327042301. The reversal of 382327042277 is 772240723283.

It is a Cunningham number, because it is equal to 6183262+1.

It can be written as a sum of positive squares in 4 ways, for example, as 200483644516 + 181843397761 = 447754^2 + 426431^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 382327042277 - 26 = 382327042213 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (382327042477) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25641752 + ... + 25656657.

It is an arithmetic number, because the mean of its divisors is an integer number (49631211675).

Almost surely, 2382327042277 is an apocalyptic number.

It is an amenable number.

382327042277 is a deficient number, since it is larger than the sum of its proper divisors (14722651123).

382327042277 is a wasteful number, since it uses less digits than its factorization.

382327042277 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51298695.

The product of its (nonzero) digits is 1580544, while the sum is 47.

The spelling of 382327042277 in words is "three hundred eighty-two billion, three hundred twenty-seven million, forty-two thousand, two hundred seventy-seven".

Divisors: 1 29 257 7453 51298409 1487653861 13183691113 382327042277