| Base | Representation |
|---|---|
| bin | 10001001111100001… |
| … | …000010100000000000 |
| 3 | 1202210021020002210000 |
| 4 | 101033201002200000 |
| 5 | 300404031231430 |
| 6 | 12301041440000 |
| 7 | 1223535545001 |
| oct | 211741024000 |
| 9 | 52707202700 |
| 10 | 18513930240 |
| 11 | 79406a38a3 |
| 12 | 3708340000 |
| 13 | 1990852110 |
| 14 | c78bab1a8 |
| 15 | 735573e60 |
| hex | 44f842800 |
18513930240 has 960 divisors, whose sum is σ = 76417220880. Its totient is φ = 4246732800.
The previous prime is 18513930221. The next prime is 18513930263. The reversal of 18513930240 is 4203931581.
18513930240 is a `hidden beast` number, since 18 + 513 + 93 + 0 + 2 + 40 = 666.
It can be written as a sum of positive squares in 8 ways, for example, as 12422439936 + 6091490304 = 111456^2 + 78048^2 .
It is a tau number, because it is divible by the number of its divisors (960).
It is a super-2 number, since 2×185139302402 (a number of 21 digits) contains 22 as substring.
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 = 18513930195 and 18513930204.
It is an unprimeable number.
It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 183306190 + ... + 183306290.
Almost surely, 218513930240 is an apocalyptic number.
18513930240 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 18513930240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38208610440).
18513930240 is an abundant number, since it is smaller than the sum of its proper divisors (57903290640).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
18513930240 is a wasteful number, since it uses less digits than its factorization.
18513930240 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 170 (or 141 counting only the distinct ones).
The product of its (nonzero) digits is 25920, while the sum is 36.
It can be divided in two parts, 18513 and 930240, that added together give a triangular number (948753 = T1377).
The spelling of 18513930240 in words is "eighteen billion, five hundred thirteen million, nine hundred thirty thousand, two hundred forty".
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