Base | Representation |
---|---|
bin | 100000111111110100111… |
… | …1110100110101110000000 |
3 | 121001112221000212001101000 |
4 | 1001333221332212232000 |
5 | 1043300404144001003 |
6 | 13351223055012000 |
7 | 645436254650550 |
oct | 101775176465600 |
9 | 17045830761330 |
10 | 4535116000128 |
11 | 149937182a77a |
12 | 612b2920a000 |
13 | 26b8761c35bc |
14 | 119702227160 |
15 | 7ce7e9341a3 |
hex | 41fe9fa6b80 |
4535116000128 has 512 divisors, whose sum is σ = 15513113088000. Its totient is φ = 1277527375872.
The previous prime is 4535116000127. The next prime is 4535116000133. The reversal of 4535116000128 is 8210006115354.
4535116000128 is a `hidden beast` number, since 4 + 5 + 35 + 1 + 1 + 600 + 0 + 12 + 8 = 666.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 4535116000092 and 4535116000101.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (4535116000127) 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 63 ways as a sum of consecutive naturals, for example, 803099001 + ... + 803104647.
It is an arithmetic number, because the mean of its divisors is an integer number (30299049000).
Almost surely, 24535116000128 is an apocalyptic number.
4535116000128 is a gapful number since it is divisible by the number (48) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 4535116000128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7756556544000).
4535116000128 is an abundant number, since it is smaller than the sum of its proper divisors (10977997087872).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4535116000128 is a wasteful number, since it uses less digits than its factorization.
4535116000128 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 6139 (or 6121 counting only the distinct ones).
The product of its (nonzero) digits is 28800, while the sum is 36.
The spelling of 4535116000128 in words is "four trillion, five hundred thirty-five billion, one hundred sixteen million, one hundred twenty-eight", and thus it is an aban number.
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