Base | Representation |
---|---|
bin | 1011001000010100110… |
… | …11111011110100000000 |
3 | 1100120010000012211210000 |
4 | 11210022123323310000 |
5 | 22231202324400014 |
6 | 451403513440000 |
7 | 36425621301300 |
oct | 5441233736400 |
9 | 1316100184700 |
10 | 382427184384 |
11 | 1382061a2993 |
12 | 6214a110000 |
13 | 2a0a7a798ab |
14 | 1471c3b5600 |
15 | 9e33cc3509 |
hex | 590a6fbd00 |
382427184384 has 540 divisors, whose sum is σ = 1341726516900. Its totient is φ = 108011667456.
The previous prime is 382427184319. The next prime is 382427184449. The reversal of 382427184384 is 483481724283.
382427184384 is a `hidden beast` number, since 3 + 8 + 2 + 427 + 184 + 38 + 4 = 666.
It is an interprime number because it is at equal distance from previous prime (382427184319) and next prime (382427184449).
It can be written as a sum of positive squares in 2 ways, for example, as 264278246400 + 118148937984 = 514080^2 + 343728^2 .
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a nude number because it is divisible by every one of its digits.
It is a self number, because there is not a number n which added to its sum of digits gives 382427184384.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 90427582 + ... + 90431810.
It is an arithmetic number, because the mean of its divisors is an integer number (2484678735).
Almost surely, 2382427184384 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 382427184384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (670863258450).
382427184384 is an abundant number, since it is smaller than the sum of its proper divisors (959299332516).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
382427184384 is an equidigital number, since it uses as much as digits as its factorization.
382427184384 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 4360 (or 4330 counting only the distinct ones).
The product of its digits is 8257536, while the sum is 54.
The spelling of 382427184384 in words is "three hundred eighty-two billion, four hundred twenty-seven million, one hundred eighty-four thousand, three hundred eighty-four".
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