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482118303744 = 215347211337
BaseRepresentation
bin1110000010000000111…
…11011000000000000000
31201002102122122102110000
413001000133120000000
530344334241204434
61005252044240000
746555224652200
oct7010037300000
91632378572400
10482118303744
11176513239430
1279530540000
133660459c30c
14194983d0400
15c81ad47b99
hex70407d8000

482118303744 has 960 divisors, whose sum is σ = 1833291294120. Its totient is φ = 124853944320.

The previous prime is 482118303691. The next prime is 482118303769. The reversal of 482118303744 is 447303811284.

It is a self number, because there is not a number n which added to its sum of digits gives 482118303744.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1430617944 + ... + 1430618280.

Almost surely, 2482118303744 is an apocalyptic number.

482118303744 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 482118303744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (916645647060).

482118303744 is an abundant number, since it is smaller than the sum of its proper divisors (1351172990376).

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

482118303744 is an equidigital number, since it uses as much as digits as its factorization.

482118303744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 482118303744 in words is "four hundred eighty-two billion, one hundred eighteen million, three hundred three thousand, seven hundred forty-four".