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485551368960 = 28357159711311
BaseRepresentation
bin1110001000011010001…
…11011110101100000000
31201102021220120012120120
413010031013132230000
530423402122301320
61011020442540240
750036262352530
oct7041507365400
91642256505516
10485551368960
11177a150a9109
127a12a207680
1336a30901358
14197023274c0
15c96c432440
hex710d1deb00

485551368960 has 288 divisors, whose sum is σ = 1773529024512. Its totient is φ = 110903869440.

The previous prime is 485551368959. The next prime is 485551369013. The reversal of 485551368960 is 69863155584.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 485551368894 and 485551368903.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 42921705 + ... + 42933015.

Almost surely, 2485551368960 is an apocalyptic number.

485551368960 is a gapful number since it is divisible by the number (40) 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 485551368960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (886764512256).

485551368960 is an abundant number, since it is smaller than the sum of its proper divisors (1287977655552).

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

485551368960 is a wasteful number, since it uses less digits than its factorization.

485551368960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12939 (or 12925 counting only the distinct ones).

The product of its (nonzero) digits is 31104000, while the sum is 60.

The spelling of 485551368960 in words is "four hundred eighty-five billion, five hundred fifty-one million, three hundred sixty-eight thousand, nine hundred sixty".