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445291682900 = 22524452916829
BaseRepresentation
bin1100111101011010111…
…00111101110001010100
31120120101010212020202212
412132231130331301110
524243424132323100
6540321510052552
744112512565521
oct6365534756124
91516333766685
10445291682900
11161935601099
127237334a158
1332cb5ac76cc
14177a347c148
15b8b2c51635
hex67ad73dc54

445291682900 has 18 divisors (see below), whose sum is σ = 966282952110. Its totient is φ = 178116673120.

The previous prime is 445291682879. The next prime is 445291682917. The reversal of 445291682900 is 9286192544.

It can be written as a sum of positive squares in 3 ways, for example, as 24490372036 + 420801310864 = 156494^2 + 648692^2 .

It is a Harshad number since it is a multiple of its sum of digits (50).

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 5 ways as a sum of consecutive naturals, for example, 2226458315 + ... + 2226458514.

Almost surely, 2445291682900 is an apocalyptic number.

It is an amenable number.

445291682900 is an abundant number, since it is smaller than the sum of its proper divisors (520991269210).

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

445291682900 is a wasteful number, since it uses less digits than its factorization.

445291682900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4452916843 (or 4452916836 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 50.

The spelling of 445291682900 in words is "four hundred forty-five billion, two hundred ninety-one million, six hundred eighty-two thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 4452916829 8905833658 17811667316 22264584145 44529168290 89058336580 111322920725 222645841450 445291682900