Base | Representation |
---|---|
bin | 101101010000111010… |
… | …1001010001100000000 |
3 | 100021220100010111012000 |
4 | 1122201311022030000 |
5 | 3043033303111043 |
6 | 112353254304000 |
7 | 10010546215362 |
oct | 1324165121400 |
9 | 307810114160 |
10 | 97204347648 |
11 | 38251358111 |
12 | 16a09658000 |
13 | 9221575395 |
14 | 49c1a4cd32 |
15 | 27ddaad2d3 |
hex | 16a1d4a300 |
97204347648 has 144 divisors (see below), whose sum is σ = 288099756000. Its totient is φ = 32328253440.
The previous prime is 97204347613. The next prime is 97204347661. The reversal of 97204347648 is 84674340279.
97204347648 is a `hidden beast` number, since 97 + 2 + 0 + 43 + 476 + 48 = 666.
It is a tau number, because it is divible by the number of its divisors (144).
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a junction number, because it is equal to n+sod(n) for n = 97204347594 and 97204347603.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3087828 + ... + 3119148.
It is an arithmetic number, because the mean of its divisors is an integer number (2000692750).
Almost surely, 297204347648 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 97204347648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144049878000).
97204347648 is an abundant number, since it is smaller than the sum of its proper divisors (190895408352).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
97204347648 is a wasteful number, since it uses less digits than its factorization.
97204347648 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 31795 (or 31775 counting only the distinct ones).
The product of its (nonzero) digits is 8128512, while the sum is 54.
The spelling of 97204347648 in words is "ninety-seven billion, two hundred four million, three hundred forty-seven thousand, six hundred forty-eight".
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