Base | Representation |
---|---|
bin | 10001110001000110… |
… | …110111001000000000 |
3 | 1211020112200001220000 |
4 | 101301012313020000 |
5 | 303032314240443 |
6 | 12433012520000 |
7 | 1243521005562 |
oct | 216106671000 |
9 | 54215601800 |
10 | 19077493248 |
11 | 80aa825050 |
12 | 3845020000 |
13 | 1a50530b58 |
14 | ccd98b332 |
15 | 769c958d3 |
hex | 4711b7200 |
19077493248 has 800 divisors, whose sum is σ = 68447047680. Its totient is φ = 5225472000.
The previous prime is 19077493247. The next prime is 19077493277. The reversal of 19077493248 is 84239477091.
It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.
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 = 19077493194 and 19077493203.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (19077493247) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 268697053 + ... + 268697123.
Almost surely, 219077493248 is an apocalyptic number.
19077493248 is a gapful number since it is divisible by the number (18) 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 19077493248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34223523840).
19077493248 is an abundant number, since it is smaller than the sum of its proper divisors (49369554432).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
19077493248 is a wasteful number, since it uses less digits than its factorization.
19077493248 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 162 (or 137 counting only the distinct ones).
The product of its (nonzero) digits is 3048192, while the sum is 54.
The spelling of 19077493248 in words is "nineteen billion, seventy-seven million, four hundred ninety-three thousand, two hundred forty-eight".
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