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382916325384 = 233253100344949
BaseRepresentation
bin1011001001001111001…
…01110111000000001000
31100121101002121210002100
411210213211313000020
522233203034403014
6451524225433400
736444011030325
oct5444745670010
91317332553070
10382916325384
1113843731284a
1262265a9b860
132a1551cc138
1414767341b4c
159e61be4009
hex5927977008

382916325384 has 48 divisors (see below), whose sum is σ = 1056632323500. Its totient is φ = 125230495104.

The previous prime is 382916325361. The next prime is 382916325391. The reversal of 382916325384 is 483523619283.

382916325384 is a `hidden beast` number, since 3 + 82 + 9 + 163 + 25 + 384 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 370479168900 + 12437156484 = 608670^2 + 111522^2 .

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 382916325384.

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 11 ways as a sum of consecutive naturals, for example, 50168659 + ... + 50176290.

Almost surely, 2382916325384 is an apocalyptic number.

It is an amenable number.

382916325384 is an abundant number, since it is smaller than the sum of its proper divisors (673715998116).

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

382916325384 is a wasteful number, since it uses less digits than its factorization.

382916325384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100345014 (or 100345007 counting only the distinct ones).

The product of its digits is 7464960, while the sum is 54.

The spelling of 382916325384 in words is "three hundred eighty-two billion, nine hundred sixteen million, three hundred twenty-five thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 53 72 106 159 212 318 424 477 636 954 1272 1908 3816 100344949 200689898 301034847 401379796 602069694 802759592 903104541 1204139388 1806209082 2408278776 3612418164 5318282297 7224836328 10636564594 15954846891 21273129188 31909693782 42546258376 47864540673 63819387564 95729081346 127638775128 191458162692 382916325384