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482127228000 = 25345311135277
BaseRepresentation
bin1110000010000010000…
…01011010110001100000
31201002110021102211020000
413001001001122301200
530344344032244000
61005253003420000
746555363551345
oct7010101326140
91632407384200
10482127228000
11176518284350
1279533524600
13366063a5342
14194996747cc
15c81ba0c000
hex704105ac60

482127228000 has 480 divisors, whose sum is σ = 1930451691168. Its totient is φ = 116878464000.

The previous prime is 482127227971. The next prime is 482127228001. The reversal of 482127228000 is 822721284.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (482127228001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3496362 + ... + 3631638.

Almost surely, 2482127228000 is an apocalyptic number.

482127228000 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 482127228000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (965225845584).

482127228000 is an abundant number, since it is smaller than the sum of its proper divisors (1448324463168).

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

482127228000 is a wasteful number, since it uses less digits than its factorization.

482127228000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135325 (or 135298 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

Adding to 482127228000 its reverse (822721284), we get a palindrome (482949949284).

The spelling of 482127228000 in words is "four hundred eighty-two billion, one hundred twenty-seven million, two hundred twenty-eight thousand".