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378306805760 = 2145131093259
BaseRepresentation
bin1011000000101001101…
…01111100000000000000
31100011110211222220220022
411200110311330000000
522144233020241020
6445443003433012
736221536535522
oct5402465740000
91304424886808
10378306805760
111364913694a4
126139a225768
132989c22ab30
141444b087a12
159c921c0625
hex5814d7c000

378306805760 has 240 divisors, whose sum is σ = 987020680800. Its totient is φ = 138358554624.

The previous prime is 378306805759. The next prime is 378306805817. The reversal of 378306805760 is 67508603873.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 116079011 + ... + 116082269.

It is an arithmetic number, because the mean of its divisors is an integer number (4112586170).

Almost surely, 2378306805760 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 378306805760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493510340400).

378306805760 is an abundant number, since it is smaller than the sum of its proper divisors (608713875040).

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

378306805760 is a wasteful number, since it uses less digits than its factorization.

378306805760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3414 (or 3388 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 53.

The spelling of 378306805760 in words is "three hundred seventy-eight billion, three hundred six million, eight hundred five thousand, seven hundred sixty".