Search a number
-
+
18187700207616 = 216366172
BaseRepresentation
bin1000010001010101001110…
…11010010000000000000000
32101101201122002200011000000
410020222213122100000000
54340441402223120431
6102403151504000000
73555006110660532
oct410524732200000
971351562604000
1018187700207616
1158823a6684385
122058a94000000
13a1c128a7c894
1446c40a113852
152181855de9e6
hex108aa7690000

18187700207616 has 357 divisors, whose sum is σ = 54626270748121. Its totient is φ = 6052740857856.

The previous prime is 18187700207609. The next prime is 18187700207641. The reversal of 18187700207616 is 61670200778181.

The square root of 18187700207616 is 4264704.

It is a perfect power (a square), and thus also a powerful number.

18187700207616 is a `hidden beast` number, since 1 + 8 + 18 + 7 + 7 + 0 + 0 + 2 + 0 + 7 + 616 = 666.

It can be written as a sum of positive squares in only one way, i.e., 526727577600 + 17660972630016 = 725760^2 + 4202496^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is an unprimeable number.

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 20 ways as a sum of consecutive naturals, for example, 29477633740 + ... + 29477634356.

Almost surely, 218187700207616 is an apocalyptic number.

18187700207616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

18187700207616 is the 4264704-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18187700207616

18187700207616 is an abundant number, since it is smaller than the sum of its proper divisors (36438570540505).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

18187700207616 is an frugal number, since it uses more digits than its factorization.

18187700207616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1284 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 1580544, while the sum is 54.

The spelling of 18187700207616 in words is "eighteen trillion, one hundred eighty-seven billion, seven hundred million, two hundred seven thousand, six hundred sixteen".