Search a number
-
+
4425113016576 = 2835723441827
BaseRepresentation
bin100000001100100110101…
…0010100001100100000000
3120200000222201211111100000
41000121031102201210000
51040000112413012301
613224511401200000
7634463266012650
oct100311522414400
916600881744300
104425113016576
111456752a3201a
125b5749490000
132613951c06a5
141142688a8360
157a19244c786
hex4064d4a1900

4425113016576 has 432 divisors, whose sum is σ = 15778900859904. Its totient is φ = 1209344919552.

The previous prime is 4425113016547. The next prime is 4425113016581. The reversal of 4425113016576 is 6756103115244.

It is a happy number.

4425113016576 is a `hidden beast` number, since 4 + 4 + 2 + 51 + 13 + 0 + 16 + 576 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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 47 ways as a sum of consecutive naturals, for example, 9794575 + ... + 10236401.

It is an arithmetic number, because the mean of its divisors is an integer number (36525233472).

Almost surely, 24425113016576 is an apocalyptic number.

4425113016576 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 4425113016576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7889450429952).

4425113016576 is an abundant number, since it is smaller than the sum of its proper divisors (11353787843328).

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

4425113016576 is an equidigital number, since it uses as much as digits as its factorization.

4425113016576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441888 (or 441862 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 4425113016576 in words is "four trillion, four hundred twenty-five billion, one hundred thirteen million, sixteen thousand, five hundred seventy-six".