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445496694544 = 241121439159911
BaseRepresentation
bin1100111101110011010…
…11000001011100010000
31120120220102121220212201
412132321223001130100
524244334123211134
6540354112132544
744120552265226
oct6367153013420
91516812556781
10445496694544
11161a302a7400
127240bb37154
1333019417b85
14177c27a6b16
15b8c5c4a914
hex67b9ac1710

445496694544 has 60 divisors (see below), whose sum is σ = 949416733440. Its totient is φ = 202356510400.

The previous prime is 445496694509. The next prime is 445496694571.

445496694544 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2705949 + ... + 2865859.

It is an arithmetic number, because the mean of its divisors is an integer number (15823612224).

Almost surely, 2445496694544 is an apocalyptic number.

445496694544 is a gapful number since it is divisible by the number (44) 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 445496694544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474708366720).

445496694544 is an abundant number, since it is smaller than the sum of its proper divisors (503920038896).

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

445496694544 is a wasteful number, since it uses less digits than its factorization.

445496694544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161380 (or 161363 counting only the distinct ones).

The product of its digits is 298598400, while the sum is 64.

The spelling of 445496694544 in words is "four hundred forty-five billion, four hundred ninety-six million, six hundred ninety-four thousand, five hundred forty-four".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 484 968 1439 1936 2878 5756 11512 15829 23024 31658 63316 126632 159911 174119 253264 319822 348238 639644 696476 1279288 1392952 1759021 2558576 2785904 3518042 7036084 14072168 19349231 28144336 38698462 77396924 154793848 230111929 309587696 460223858 920447716 1840895432 2531231219 3681790864 5062462438 10124924876 20249849752 27843543409 40499699504 55687086818 111374173636 222748347272 445496694544