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482033384532 = 2233711322325303
BaseRepresentation
bin1110000001110110110…
…11011011110001010100
31201002012201212002012000
413000323123123301110
530344201021301112
61005235412155300
746553144110260
oct7007333336124
91632181762160
10482033384532
1117647a308367
1279508008b30
13365bcb08b6b
141948b0070a0
15c8136717dc
hex703b6dbc54

482033384532 has 192 divisors, whose sum is σ = 1447404994560. Its totient is φ = 135887528448.

The previous prime is 482033384531. The next prime is 482033384533. The reversal of 482033384532 is 235483330284.

482033384532 is a `hidden beast` number, since 4 + 8 + 2 + 0 + 3 + 33 + 84 + 532 = 666.

It is an interprime number because it is at equal distance from previous prime (482033384531) and next prime (482033384533).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (482033384531) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19037793 + ... + 19063095.

It is an arithmetic number, because the mean of its divisors is an integer number (7538567680).

Almost surely, 2482033384532 is an apocalyptic number.

482033384532 is a gapful number since it is divisible by the number (42) 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 482033384532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (723702497280).

482033384532 is an abundant number, since it is smaller than the sum of its proper divisors (965371610028).

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

482033384532 is a wasteful number, since it uses less digits than its factorization.

482033384532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25659 (or 25651 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 45.

The spelling of 482033384532 in words is "four hundred eighty-two billion, thirty-three million, three hundred eighty-four thousand, five hundred thirty-two".