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382133720052 = 223272216629093
BaseRepresentation
bin1011000111110001111…
…00011101001111110100
31100112100120000022101200
411203320330131033310
522230102213020202
6451314431452500
736415426012200
oct5437074351764
91315316008350
10382133720052
11138075582887
1262087987130
132a05c029866
14146d1423b00
159e18155e1c
hex58f8f1d3f4

382133720052 has 54 divisors (see below), whose sum is σ = 1123655110578. Its totient is φ = 109181062368.

The previous prime is 382133720021. The next prime is 382133720071. The reversal of 382133720052 is 250027331283.

It can be written as a sum of positive squares in only one way, i.e., 354791774736 + 27341945316 = 595644^2 + 165354^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 382133719989 and 382133720016.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 108312783 + ... + 108316310.

Almost surely, 2382133720052 is an apocalyptic number.

It is an amenable number.

382133720052 is an abundant number, since it is smaller than the sum of its proper divisors (741521390526).

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

382133720052 is a wasteful number, since it uses less digits than its factorization.

382133720052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216629117 (or 216629105 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 382133720052 in words is "three hundred eighty-two billion, one hundred thirty-three million, seven hundred twenty thousand, fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 882 1764 216629093 433258186 649887279 866516372 1299774558 1516403651 1949661837 2599549116 3032807302 3899323674 4549210953 6065614604 7798647348 9098421906 10614825557 13647632859 18196843812 21229651114 27295265718 31844476671 42459302228 54590531436 63688953342 95533430013 127377906684 191066860026 382133720052