Base | Representation |
---|---|
bin | 1001010011111000000100… |
… | …00110101101111110100000 |
3 | 2200111022100022211110000000 |
4 | 10221330002012231332200 |
5 | 10140422021432300043 |
6 | 111313405254300000 |
7 | 4212131246040000 |
oct | 451740206557640 |
9 | 80438308743000 |
10 | 20474144415648 |
11 | 6584043843300 |
12 | 2368039657600 |
13 | b5691b883271 |
14 | 50ad4d620000 |
15 | 2578a5b402d3 |
hex | 129f021adfa0 |
20474144415648 has 2880 divisors, whose sum is σ = 83138636649600. Its totient is φ = 4943009111040.
The previous prime is 20474144415643. The next prime is 20474144415661. The reversal of 20474144415648 is 84651444147402.
20474144415648 is a `hidden beast` number, since 2 + 0 + 4 + 7 + 4 + 1 + 444 + 156 + 48 = 666.
It is a super-3 number, since 3×204741444156483 (a number of 41 digits) contains 333 as substring.
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 = 20474144415594 and 20474144415603.
It is not an unprimeable number, because it can be changed into a prime (20474144415643) by changing a digit.
It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 386304611590 + ... + 386304611642.
It is an arithmetic number, because the mean of its divisors is an integer number (28867582170).
Almost surely, 220474144415648 is an apocalyptic number.
20474144415648 is a gapful number since it is divisible by the number (28) 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 20474144415648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41569318324800).
20474144415648 is an abundant number, since it is smaller than the sum of its proper divisors (62664492233952).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
20474144415648 is an frugal number, since it uses more digits than its factorization.
20474144415648 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 153 (or 95 counting only the distinct ones).
The product of its (nonzero) digits is 13762560, while the sum is 54.
The spelling of 20474144415648 in words is "twenty trillion, four hundred seventy-four billion, one hundred forty-four million, four hundred fifteen thousand, six hundred forty-eight".
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