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450850474116 = 223472734
BaseRepresentation
bin1101000111110001100…
…10000100100010000100
31121002201112201002210000
412203320302010202010
524341320210132431
6543041242201300
744400331541100
oct6437062044204
91532645632700
10450850474116
11164228380219
1273464ab3230
1333690654093
1417b6d83a900
15badac859e6
hex68f8c84884

450850474116 has 225 divisors, whose sum is σ = 1390080880419. Its totient is φ = 127049840064.

The previous prime is 450850474103. The next prime is 450850474153. The reversal of 450850474116 is 611474058054.

The square root of 450850474116 is 671454.

It is a perfect power (a square), and thus also a powerful number.

450850474116 is a `hidden beast` number, since 4 + 508 + 50 + 47 + 41 + 16 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8252995716 + 442597478400 = 90846^2 + 665280^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 6176033856 + ... + 6176033928.

Almost surely, 2450850474116 is an apocalyptic number.

450850474116 is the 671454-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 450850474116

450850474116 is an abundant number, since it is smaller than the sum of its proper divisors (939230406303).

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

450850474116 is an frugal number, since it uses more digits than its factorization.

450850474116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 450850474116 in words is "four hundred fifty billion, eight hundred fifty million, four hundred seventy-four thousand, one hundred sixteen".