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485144149248 = 28331119418191
BaseRepresentation
bin1110000111101001101…
…10000011110100000000
31201101020112022022011000
413003310312003310000
530422033400233443
61010512214452000
750023216141203
oct7036466036400
91641215268130
10485144149248
111778262519a0
127a035964000
1336997432845
14196a420393a
15c9467e48d3
hex70f4d83d00

485144149248 has 576 divisors, whose sum is σ = 1687840358400. Its totient is φ = 135862272000.

The previous prime is 485144149247. The next prime is 485144149253. The reversal of 485144149248 is 842941441584.

It is a happy number.

485144149248 is a `hidden beast` number, since 4 + 8 + 5 + 144 + 1 + 492 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 485144149194 and 485144149203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (485144149241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 59224833 + ... + 59233023.

It is an arithmetic number, because the mean of its divisors is an integer number (2930278400).

Almost surely, 2485144149248 is an apocalyptic number.

485144149248 is a gapful number since it is divisible by the number (48) 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 485144149248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (843920179200).

485144149248 is an abundant number, since it is smaller than the sum of its proper divisors (1202696209152).

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

485144149248 is a wasteful number, since it uses less digits than its factorization.

485144149248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8287 (or 8267 counting only the distinct ones).

The product of its digits is 5898240, while the sum is 54.

The spelling of 485144149248 in words is "four hundred eighty-five billion, one hundred forty-four million, one hundred forty-nine thousand, two hundred forty-eight".