Base | Representation |
---|---|
bin | 10000110110100101… |
… | …010110100001000000 |
3 | 1201201010010021021100 |
4 | 100312211112201000 |
5 | 244024440133100 |
6 | 12151340054400 |
7 | 1210266214641 |
oct | 206645264100 |
9 | 51633107240 |
10 | 18095630400 |
11 | 7746569a51 |
12 | 3610234400 |
13 | 1924ca4213 |
14 | c394016c8 |
15 | 70d998400 |
hex | 436956840 |
18095630400 has 567 divisors, whose sum is σ = 69049361901. Its totient is φ = 4494044160.
The previous prime is 18095630347. The next prime is 18095630407. The reversal of 18095630400 is 403659081.
The square root of 18095630400 is 134520.
It is a perfect power (a square), and thus also a powerful number.
18095630400 is a `hidden beast` number, since 18 + 0 + 9 + 5 + 630 + 4 + 0 + 0 = 666.
It can be written as a sum of positive squares in only one way, i.e., 6514426944 + 11581203456 = 80712^2 + 107616^2 .
It is a Harshad number since it is a multiple of its sum of digits (36).
It is not an unprimeable number, because it can be changed into a prime (18095630407) 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 80 ways as a sum of consecutive naturals, for example, 306705571 + ... + 306705629.
Almost surely, 218095630400 is an apocalyptic number.
18095630400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
18095630400 is the 134520-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 18095630400
18095630400 is an abundant number, since it is smaller than the sum of its proper divisors (50953731501).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
18095630400 is a wasteful number, since it uses less digits than its factorization.
18095630400 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 184 (or 88 counting only the distinct ones).
The product of its (nonzero) digits is 25920, while the sum is 36.
Multiplying 18095630400 by its sum of digits (36), we get a square (651442694400 = 8071202).
18095630400 divided by its sum of digits (36) gives a square (502656400 = 224202).
The spelling of 18095630400 in words is "eighteen billion, ninety-five million, six hundred thirty thousand, four hundred".
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