Base | Representation |
---|---|
bin | 10001111110100101… |
… | …110110100000000000 |
3 | 1211211022100121222011 |
4 | 101332211312200000 |
5 | 304013223032320 |
6 | 12511253422304 |
7 | 1252235630566 |
oct | 217645664000 |
9 | 54738317864 |
10 | 19303720960 |
11 | 82064a12a7 |
12 | 38a893a994 |
13 | 1a8836c0c4 |
14 | d11a39a36 |
15 | 77ea8105a |
hex | 47e976800 |
19303720960 has 72 divisors (see below), whose sum is σ = 46351378710. Its totient is φ = 7715864576.
The previous prime is 19303720951. The next prime is 19303720963. The reversal of 19303720960 is 6902730391.
It can be written as a sum of positive squares in 3 ways, for example, as 18435122176 + 868598784 = 135776^2 + 29472^2 .
It is a Harshad number since it is a multiple of its sum of digits (40).
It is not an unprimeable number, because it can be changed into a prime (19303720963) by changing a digit.
It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 14058834 + ... + 14060206.
Almost surely, 219303720960 is an apocalyptic number.
19303720960 is a gapful number since it is divisible by the number (10) 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 19303720960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23175689355).
19303720960 is an abundant number, since it is smaller than the sum of its proper divisors (27047657750).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
19303720960 is an frugal number, since it uses more digits than its factorization.
19303720960 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2773 (or 1380 counting only the distinct ones).
The product of its (nonzero) digits is 61236, while the sum is 40.
Multiplying 19303720960 by its sum of digits (40), we get a square (772148838400 = 8787202).
19303720960 divided by its sum of digits (40) gives a square (482593024 = 219682).
The spelling of 19303720960 in words is "nineteen billion, three hundred three million, seven hundred twenty thousand, nine hundred sixty".
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