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484523320320 = 21033513535087
BaseRepresentation
bin1110000110011111101…
…01110010010000000000
31201022122021002220222000
413003033311302100000
530414300432222240
61010330440144000
750001640161264
oct7031765622000
91638567086860
10484523320320
11177537867a36
1279aa1a68000
13368c8923450
14196459980a4
15c90c060430
hex70cfd72400

484523320320 has 704 divisors, whose sum is σ = 1889722275840. Its totient is φ = 116993949696.

The previous prime is 484523320313. The next prime is 484523320327. The reversal of 484523320320 is 23023325484.

484523320320 is a `hidden beast` number, since 4 + 8 + 4 + 5 + 2 + 3 + 320 + 320 = 666.

It is an interprime number because it is at equal distance from previous prime (484523320313) and next prime (484523320327).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (484523320327) 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, 95244817 + ... + 95249903.

Almost surely, 2484523320320 is an apocalyptic number.

484523320320 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 484523320320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (944861137920).

484523320320 is an abundant number, since it is smaller than the sum of its proper divisors (1405198955520).

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

484523320320 is a wasteful number, since it uses less digits than its factorization.

484523320320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5187 (or 5163 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The spelling of 484523320320 in words is "four hundred eighty-four billion, five hundred twenty-three million, three hundred twenty thousand, three hundred twenty".