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379955041344 = 2632659644169
BaseRepresentation
bin1011000011101110001…
…01011101010001000000
31100022201201102222001200
411201313011131101000
522211121442310334
6450314323101200
736310432364214
oct5416705352100
91308651388050
10379955041344
1113715779626a
126177a211800
1329aa2851b68
1414565d36944
159d3bc4b799
hex587715d440

379955041344 has 42 divisors (see below), whose sum is σ = 1089072524670. Its totient is φ = 126651680256.

The previous prime is 379955041343. The next prime is 379955041363. The reversal of 379955041344 is 443140559973.

379955041344 is a `hidden beast` number, since 3 + 7 + 9 + 9 + 550 + 41 + 3 + 44 = 666.

It can be written as a sum of positive squares in only one way, i.e., 229479321600 + 150475719744 = 479040^2 + 387912^2 .

It is not an unprimeable number, because it can be changed into a prime (379955041343) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 329821509 + ... + 329822660.

Almost surely, 2379955041344 is an apocalyptic number.

It is an amenable number.

379955041344 is an abundant number, since it is smaller than the sum of its proper divisors (709117483326).

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

379955041344 is a wasteful number, since it uses less digits than its factorization.

379955041344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 659644187 (or 659644174 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 54.

The spelling of 379955041344 in words is "three hundred seventy-nine billion, nine hundred fifty-five million, forty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 659644169 1319288338 1978932507 2638576676 3957865014 5277153352 5936797521 7915730028 10554306704 11873595042 15831460056 21108613408 23747190084 31662920112 42217226816 47494380168 63325840224 94988760336 126651680448 189977520672 379955041344