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378138307329 = 32175692391449
BaseRepresentation
bin1011000000010101100…
…11001010101100000001
31100011001002221022111200
411200022303022230001
522143411401313304
6445414144131413
736214422402456
oct5401263125401
91304032838450
10378138307329
111364052420a2
1261351906b69
1329873353113
141443294582d
159c824d9e39
hex580accab01

378138307329 has 12 divisors (see below), whose sum is σ = 546231094500. Its totient is φ = 252077750784.

The previous prime is 378138307321. The next prime is 378138307369. The reversal of 378138307329 is 923703831873.

378138307329 is a `hidden beast` number, since 3 + 7 + 8 + 1 + 3 + 8 + 307 + 329 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 17630528400 + 360507778929 = 132780^2 + 600423^2 .

It is not a de Polignac number, because 378138307329 - 23 = 378138307321 is a prime.

It is a super-2 number, since 2×3781383073292 (a number of 24 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (378138307321) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1037604 + ... + 1353845.

It is an arithmetic number, because the mean of its divisors is an integer number (45519257875).

Almost surely, 2378138307329 is an apocalyptic number.

It is an amenable number.

378138307329 is a deficient number, since it is larger than the sum of its proper divisors (168092787171).

378138307329 is a wasteful number, since it uses less digits than its factorization.

378138307329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2409024 (or 2409021 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 378138307329 in words is "three hundred seventy-eight billion, one hundred thirty-eight million, three hundred seven thousand, three hundred twenty-nine".

Divisors: 1 3 9 17569 52707 158121 2391449 7174347 21523041 42015367481 126046102443 378138307329