Base | Representation |
---|---|
bin | 10100100000111000110111… |
… | …00101100001111111010100 |
3 | 12220201112002121102220021200 |
4 | 22100130123211201333110 |
5 | 21403042303102131033 |
6 | 235535251332112500 |
7 | 12334061231121543 |
oct | 1220343345417724 |
9 | 186645077386250 |
10 | 45110504333268 |
11 | 134122917387a0 |
12 | 5086874765730 |
13 | 1c22b9649a17a |
14 | b1d50800815a |
15 | 533663958013 |
hex | 29071b961fd4 |
45110504333268 has 288 divisors, whose sum is σ = 131775514416000. Its totient is φ = 12868250250240.
The previous prime is 45110504333267. The next prime is 45110504333269. The reversal of 45110504333268 is 86233340501154.
45110504333268 is a `hidden beast` number, since 4 + 5 + 1 + 1 + 0 + 50 + 4 + 333 + 268 = 666.
45110504333268 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (45110504333267) and next prime (45110504333269).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (45110504333263) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 876979246 + ... + 877030682.
It is an arithmetic number, because the mean of its divisors is an integer number (457553869500).
Almost surely, 245110504333268 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 45110504333268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65887757208000).
45110504333268 is an abundant number, since it is smaller than the sum of its proper divisors (86665010082732).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
45110504333268 is a wasteful number, since it uses less digits than its factorization.
45110504333268 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 52215 (or 52210 counting only the distinct ones).
The product of its (nonzero) digits is 1036800, while the sum is 45.
The spelling of 45110504333268 in words is "forty-five trillion, one hundred ten billion, five hundred four million, three hundred thirty-three thousand, two hundred sixty-eight".
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