Base | Representation |
---|---|
bin | 1001100000001001010111… |
… | …1000111110111100110100 |
3 | 1100222210210101110010100200 |
4 | 2120002111320332330310 |
5 | 2332134222023110324 |
6 | 34115404305040500 |
7 | 2125556041653216 |
oct | 230022570767464 |
9 | 40883711403320 |
10 | 10447875206964 |
11 | 3368a121a6a68 |
12 | 1208a50326130 |
13 | 5aa2cc2777a0 |
14 | 2819737605b6 |
15 | 131b8e8bcec9 |
hex | 98095e3ef34 |
10447875206964 has 144 divisors (see below), whose sum is σ = 28853455176000. Its totient is φ = 3168478559232.
The previous prime is 10447875206939. The next prime is 10447875206987. The reversal of 10447875206964 is 46960257874401.
10447875206964 is a `hidden beast` number, since 1 + 0 + 4 + 47 + 8 + 7 + 520 + 6 + 9 + 64 = 666.
10447875206964 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8914387 + ... + 10018085.
It is an arithmetic number, because the mean of its divisors is an integer number (200371216500).
Almost surely, 210447875206964 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 10447875206964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14426727588000).
10447875206964 is an abundant number, since it is smaller than the sum of its proper divisors (18405579969036).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10447875206964 is a wasteful number, since it uses less digits than its factorization.
10447875206964 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1104014 (or 1104009 counting only the distinct ones).
The product of its (nonzero) digits is 81285120, while the sum is 63.
The spelling of 10447875206964 in words is "ten trillion, four hundred forty-seven billion, eight hundred seventy-five million, two hundred six thousand, nine hundred sixty-four".
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