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484255998720 = 28355132341127
BaseRepresentation
bin1110000101111111110…
…10000010001100000000
31201021221122002120200000
413002333322002030000
530413224013424340
61010244130400000
746662213034104
oct7027772021400
91637848076600
10484255998720
1117740a98329a
1279a28430000
13368854277a0
141961c28d904
15c8e3858d30
hex70bfe82300

484255998720 has 1728 divisors, whose sum is σ = 2015914328064. Its totient is φ = 110361968640.

The previous prime is 484255998689. The next prime is 484255998739. The reversal of 484255998720 is 27899552484.

484255998720 is a `hidden beast` number, since 4 + 8 + 4 + 2 + 559 + 9 + 8 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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 191 ways as a sum of consecutive naturals, for example, 3813039297 + ... + 3813039423.

It is an arithmetic number, because the mean of its divisors is an integer number (1166617088).

Almost surely, 2484255998720 is an apocalyptic number.

484255998720 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 484255998720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1007957164032).

484255998720 is an abundant number, since it is smaller than the sum of its proper divisors (1531658329344).

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

484255998720 is a wasteful number, since it uses less digits than its factorization.

484255998720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 58060800, while the sum is 63.

The spelling of 484255998720 in words is "four hundred eighty-four billion, two hundred fifty-five million, nine hundred ninety-eight thousand, seven hundred twenty".