Base | Representation |
---|---|
bin | 101101010001010000101100… |
… | …0110010001110010010010000 |
3 | 1221012220012202120010220011200 |
4 | 1122202201120302032102100 |
5 | 404143022411330214342 |
6 | 3530520540125311200 |
7 | 146605514262450636 |
oct | 13242413062162220 |
9 | 1835805676126150 |
10 | 398196497507472 |
11 | 105972205977594 |
12 | 387b1195405500 |
13 | 141259cb7a5881 |
14 | 7048b55a2d356 |
15 | 3108010d7494c |
hex | 16a2858c8e490 |
398196497507472 has 120 divisors (see below), whose sum is σ = 1117334545726464. Its totient is φ = 132382318662912.
The previous prime is 398196497507461. The next prime is 398196497507507. The reversal of 398196497507472 is 274705794691893.
398196497507472 is a `hidden beast` number, since 3 + 9 + 8 + 1 + 9 + 6 + 4 + 97 + 50 + 7 + 472 = 666.
It is a super-4 number, since 4×3981964975074724 (a number of 60 digits) contains 4444 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 398196497507391 and 398196497507400.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3366584398 + ... + 3366702674.
It is a 1-persistent number, because it is pandigital, but 2⋅398196497507472 = 796392995014944 is not.
Almost surely, 2398196497507472 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 398196497507472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558667272863232).
398196497507472 is an abundant number, since it is smaller than the sum of its proper divisors (719138048218992).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
398196497507472 is a wasteful number, since it uses less digits than its factorization.
398196497507472 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 179717 (or 179708 counting only the distinct ones).
The product of its (nonzero) digits is 5761082880, while the sum is 81.
The spelling of 398196497507472 in words is "three hundred ninety-eight trillion, one hundred ninety-six billion, four hundred ninety-seven million, five hundred seven thousand, four hundred seventy-two".
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