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445380083544 = 233111687045771
BaseRepresentation
bin1100111101100101011…
…10001011111101011000
31120120121022012110122210
412132302232023331120
524244114300133134
6540334344515120
744114635150404
oct6366256137530
91516538173583
10445380083544
1116198049a880
1272398a7baa0
1332ccb209696
14177b10d0104
15b8ba8b42e9
hex67b2b8bf58

445380083544 has 32 divisors (see below), whose sum is σ = 1214672955840. Its totient is φ = 134963661600.

The previous prime is 445380083479. The next prime is 445380083569.

445380083544 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 445380083493 and 445380083502.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 843522622 + ... + 843523149.

It is an arithmetic number, because the mean of its divisors is an integer number (37958529870).

Almost surely, 2445380083544 is an apocalyptic number.

445380083544 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

445380083544 is an abundant number, since it is smaller than the sum of its proper divisors (769292872296).

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

445380083544 is a wasteful number, since it uses less digits than its factorization.

445380083544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1687045791 (or 1687045787 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 48.

The spelling of 445380083544 in words is "four hundred forty-five billion, three hundred eighty million, eighty-three thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 1687045771 3374091542 5061137313 6748183084 10122274626 13496366168 18557503481 20244549252 37115006962 40489098504 55672510443 74230013924 111345020886 148460027848 222690041772 445380083544