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382158218052 = 223513294722189
BaseRepresentation
bin1011000111110100110…
…01111010001101000100
31100112102021002221100000
411203322121322031010
522230130000434202
6451321104521300
736416144154012
oct5437231721504
91315367087300
10382158218052
11138088395566
1262094020230
132a064126410
14146d479d8b2
159e1a39491c
hex58fa67a344

382158218052 has 288 divisors, whose sum is σ = 1139848819200. Its totient is φ = 111111823872.

The previous prime is 382158218051. The next prime is 382158218083. The reversal of 382158218052 is 250812851283.

382158218052 is a `hidden beast` number, since 3 + 8 + 2 + 1 + 582 + 18 + 0 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 382158217989 and 382158218007.

It is not an unprimeable number, because it can be changed into a prime (382158218051) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17211774 + ... + 17233962.

It is an arithmetic number, because the mean of its divisors is an integer number (3957808400).

Almost surely, 2382158218052 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 382158218052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569924409600).

382158218052 is an abundant number, since it is smaller than the sum of its proper divisors (757690601148).

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

382158218052 is a wasteful number, since it uses less digits than its factorization.

382158218052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22297 (or 22283 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 45.

The spelling of 382158218052 in words is "three hundred eighty-two billion, one hundred fifty-eight million, two hundred eighteen thousand, fifty-two".