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378547525745873 = 11219316209802841
BaseRepresentation
bin101011000010010010111011…
…0110011010111110011010001
31211122022210022221020111210122
41112010211312303113303101
5344104110313042331443
63421034155500440025
7142510104402265631
oct12604456663276321
91748283287214718
10378547525745873
11aa68711662a600
1236559068549015
131332bb56106853
146969b25a226c1
152db6d53450968
hex1584976cd7cd1

378547525745873 has 12 divisors (see below), whose sum is σ = 418245332929284. Its totient is φ = 342351035980800.

The previous prime is 378547525745819. The next prime is 378547525745899.

It is a happy number.

378547525745873 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 192579538553809 + 185967987192064 = 13877303^2 + 13637008^2 .

It is a de Polignac number, because none of the positive numbers 2k-378547525745873 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (378547525745773) 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, 8104878068 + ... + 8104924773.

It is an arithmetic number, because the mean of its divisors is an integer number (34853777744107).

Almost surely, 2378547525745873 is an apocalyptic number.

It is an amenable number.

378547525745873 is a deficient number, since it is larger than the sum of its proper divisors (39697807183411).

378547525745873 is a wasteful number, since it uses less digits than its factorization.

378547525745873 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16209803056 (or 16209803045 counting only the distinct ones).

The product of its digits is 27659520000, while the sum is 80.

The spelling of 378547525745873 in words is "three hundred seventy-eight trillion, five hundred forty-seven billion, five hundred twenty-five million, seven hundred forty-five thousand, eight hundred seventy-three".

Divisors: 1 11 121 193 2123 23353 16209802841 178307831251 1961386143761 3128491948313 34413411431443 378547525745873