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6444334446 = 231197641431
BaseRepresentation
bin1100000000001110…
…01011110101101110
3121122010011002221120
412000013023311232
5101144222200241
62543244241410
7315460640034
oct60007136556
917563132846
106444334446
112807727940
1212ba240266
137b9160a64
14451c34554
1527ab57666
hex1801cbd6e

6444334446 has 16 divisors (see below), whose sum is σ = 14060366208. Its totient is φ = 1952828600.

The previous prime is 6444334439. The next prime is 6444334469.

6444334446 is nontrivially palindromic in base 10.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a junction number, because it is equal to n+sod(n) for n = 6444334398 and 6444334407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48820650 + ... + 48820781.

It is an arithmetic number, because the mean of its divisors is an integer number (878772888).

Almost surely, 26444334446 is an apocalyptic number.

6444334446 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

6444334446 is an abundant number, since it is smaller than the sum of its proper divisors (7616031762).

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

6444334446 is a wasteful number, since it uses less digits than its factorization.

6444334446 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97641447.

The product of its digits is 1327104, while the sum is 42.

The square root of 6444334446 is about 80276.6120735049. The cubic root of 6444334446 is about 1860.9128026299.

It can be divided in two parts, 64443 and 34446, that added together give a palindrome (98889).

The spelling of 6444334446 in words is "six billion, four hundred forty-four million, three hundred thirty-four thousand, four hundred forty-six".

Divisors: 1 2 3 6 11 22 33 66 97641431 195282862 292924293 585848586 1074055741 2148111482 3222167223 6444334446