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4091273856 = 2732172331293
BaseRepresentation
bin1111001111011011…
…1110001010000000
3101120010110020122100
43303312332022000
531334331230411
61513550110400
7203246153055
oct36366761200
911503406570
104091273856
11180a46566a
129621ab400
135027cb407
142ab51302c
1518e2a4456
hexf3dbe280

4091273856 has 384 divisors, whose sum is σ = 13473008640. Its totient is φ = 1184071680.

The previous prime is 4091273821. The next prime is 4091273869. The reversal of 4091273856 is 6583721904.

4091273856 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

4091273856 is strictly pandigital in base 10.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 13963246 + ... + 13963538.

It is an arithmetic number, because the mean of its divisors is an integer number (35085960).

It is a 1-persistent number, because it is pandigital, but 2⋅4091273856 = 8182547712 is not.

Almost surely, 24091273856 is an apocalyptic number.

4091273856 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4091273856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6736504320).

4091273856 is an abundant number, since it is smaller than the sum of its proper divisors (9381734784).

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

4091273856 is a wasteful number, since it uses less digits than its factorization.

4091273856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 4091273856 is about 63963.0663430077. The cubic root of 4091273856 is about 1599.3843798294.

The spelling of 4091273856 in words is "four billion, ninety-one million, two hundred seventy-three thousand, eight hundred fifty-six".