Base | Representation |
---|---|
bin | 10000110110011101… |
… | …001001000100000000 |
3 | 1201200222001220221011 |
4 | 100312131021010000 |
5 | 244023412300034 |
6 | 12151222010304 |
7 | 1210242012100 |
oct | 206635110400 |
9 | 51628056834 |
10 | 18093478144 |
11 | 7745329a25 |
12 | 360b576994 |
13 | 19246cc6b1 |
14 | c39001200 |
15 | 70d6c0864 |
hex | 436749100 |
18093478144 has 81 divisors (see below), whose sum is σ = 42047824581. Its totient is φ = 7747891200.
The previous prime is 18093478127. The next prime is 18093478201. The reversal of 18093478144 is 44187439081.
The square root of 18093478144 is 134512.
It is a perfect power (a square), and thus also a powerful number.
It can be written as a sum of positive squares in only one way, i.e., 30118144 + 18063360000 = 5488^2 + 134400^2 .
It is a Harshad number since it is a multiple of its sum of digits (49).
It is an unprimeable number.
It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 15064744 + ... + 15065944.
Almost surely, 218093478144 is an apocalyptic number.
18093478144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.
18093478144 is the 134512-nd square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 18093478144
18093478144 is an abundant number, since it is smaller than the sum of its proper divisors (23954346437).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
18093478144 is an frugal number, since it uses more digits than its factorization.
18093478144 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2432 (or 1210 counting only the distinct ones).
The product of its (nonzero) digits is 774144, while the sum is 49.
Multiplying 18093478144 by its sum of digits (49), we get a square (886580429056 = 9415842).
18093478144 divided by its sum of digits (49) gives a square (369254656 = 192162).
The spelling of 18093478144 in words is "eighteen billion, ninety-three million, four hundred seventy-eight thousand, one hundred forty-four".
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