Base | Representation |
---|---|
bin | 1001100001101011111000… |
… | …1110011100101100010000 |
3 | 1101002100001111020111120000 |
4 | 2120122332032130230100 |
5 | 2333102402330214344 |
6 | 34135500441450000 |
7 | 2130513312450006 |
oct | 230327616345420 |
9 | 41070044214500 |
10 | 10474321726224 |
11 | 3379153605354 |
12 | 1211bb11a0900 |
13 | 5ac955399755 |
14 | 282d61c88a76 |
15 | 1326db573a69 |
hex | 986be39cb10 |
10474321726224 has 150 divisors (see below), whose sum is σ = 30596448440250. Its totient is φ = 3459403924992.
The previous prime is 10474321726181. The next prime is 10474321726249. The reversal of 10474321726224 is 42262712347401.
10474321726224 is a `hidden beast` number, since 1 + 0 + 4 + 7 + 4 + 3 + 2 + 17 + 2 + 622 + 4 = 666.
It can be written as a sum of positive squares in 3 ways, for example, as 3084449187600 + 7389872538624 = 1756260^2 + 2718432^2 .
It is a super-2 number, since 2×104743217262242 (a number of 27 digits) contains 22 as substring.
It is a self number, because there is not a number n which added to its sum of digits gives 10474321726224.
It is an unprimeable number.
It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 15057652 + ... + 15737900.
It is an arithmetic number, because the mean of its divisors is an integer number (203976322935).
Almost surely, 210474321726224 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 10474321726224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15298224220125).
10474321726224 is an abundant number, since it is smaller than the sum of its proper divisors (20122126714026).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10474321726224 is an equidigital number, since it uses as much as digits as its factorization.
10474321726224 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 680487 (or 680363 counting only the distinct ones).
The product of its (nonzero) digits is 903168, while the sum is 45.
The spelling of 10474321726224 in words is "ten trillion, four hundred seventy-four billion, three hundred twenty-one million, seven hundred twenty-six thousand, two hundred twenty-four".
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