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378383432011 = 132113137314431
BaseRepresentation
bin1011000000110010110…
…10001111100101001011
31100011200012011221100121
411200121122033211023
522144412124311021
6445454342044111
736223460050624
oct5403132174513
91304605157317
10378383432011
11136520645982
12613bba19637
13298b2079700
1414457312a4b
159c98ca9741
hex581968f94b

378383432011 has 24 divisors (see below), whose sum is σ = 413684447616. Its totient is φ = 345909957120.

The previous prime is 378383432003. The next prime is 378383432027. The reversal of 378383432011 is 110234383873.

It is not a de Polignac number, because 378383432011 - 23 = 378383432003 is a prime.

It is a super-3 number, since 3×3783834320113 (a number of 36 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (378383432051) 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 23 ways as a sum of consecutive naturals, for example, 26212966 + ... + 26227396.

It is an arithmetic number, because the mean of its divisors is an integer number (17236851984).

Almost surely, 2378383432011 is an apocalyptic number.

378383432011 is a deficient number, since it is larger than the sum of its proper divisors (35301015605).

378383432011 is a wasteful number, since it uses less digits than its factorization.

378383432011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15943 (or 15930 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 43.

The spelling of 378383432011 in words is "three hundred seventy-eight billion, three hundred eighty-three million, four hundred thirty-two thousand, eleven".

Divisors: 1 13 113 169 1373 1469 14431 17849 19097 155149 187603 232037 1630703 2016937 2438839 19813763 21199139 26220181 257578919 275588807 2238955219 3348525947 29106417847 378383432011