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4204331712 = 263272181823
BaseRepresentation
bin1111101010011001…
…0000001011000000
3101212000012011212100
43322212100023000
532102302103322
61533105230400
7206121141600
oct37246201300
911760164770
104204331712
111868265709
12994032400
13520064559
142bc542c00
15199187dac
hexfa9902c0

4204331712 has 252 divisors, whose sum is σ = 14113038576. Its totient is φ = 1193149440.

The previous prime is 4204331711. The next prime is 4204331777. The reversal of 4204331712 is 2171334024.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (252).

It is not an unprimeable number, because it can be changed into a prime (4204331711) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 5108133 + ... + 5108955.

Almost surely, 24204331712 is an apocalyptic number.

4204331712 is a gapful number since it is divisible by the number (42) 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 4204331712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7056519288).

4204331712 is an abundant number, since it is smaller than the sum of its proper divisors (9908706864).

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

4204331712 is a wasteful number, since it uses less digits than its factorization.

4204331712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1036 (or 1016 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 4204331712 is about 64840.8182551701. The cubic root of 4204331712 is about 1613.9831306999.

Adding to 4204331712 its reverse (2171334024), we get a palindrome (6375665736).

The spelling of 4204331712 in words is "four billion, two hundred four million, three hundred thirty-one thousand, seven hundred twelve".