Search a number
-
+
1818225709056 = 2123423412
BaseRepresentation
bin11010011101010110101…
…100101001000000000000
320102211011021110010010000
4122131112230221000000
5214242211240142211
63511140435040000
7245235220345041
oct32352654510000
96384137403100
101818225709056
11641118014659
12254474140000
131025c5161933
14640071908c8
1532469b48656
hex1a756b29000

1818225709056 has 195 divisors, whose sum is σ = 5433887964153. Its totient is φ = 605816340480.

The previous prime is 1818225709051. The next prime is 1818225709067. The reversal of 1818225709056 is 6509075228181.

The square root of 1818225709056 is 1348416.

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

1818225709056 is a `hidden beast` number, since 1 + 8 + 18 + 2 + 2 + 570 + 9 + 0 + 56 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1186391494656 + 631834214400 = 1089216^2 + 794880^2 .

It is a super-2 number, since 2×18182257090562 (a number of 25 digits) contains 22 as substring.

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 = 1818225708993 and 1818225709011.

It is not an unprimeable number, because it can be changed into a prime (1818225709051) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 776686446 + ... + 776688786.

Almost surely, 21818225709056 is an apocalyptic number.

1818225709056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1818225709056 is the 1348416-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1818225709056

1818225709056 is an abundant number, since it is smaller than the sum of its proper divisors (3615662255097).

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

1818225709056 is an frugal number, since it uses more digits than its factorization.

1818225709056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4718 (or 2346 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 54.

The spelling of 1818225709056 in words is "one trillion, eight hundred eighteen billion, two hundred twenty-five million, seven hundred nine thousand, fifty-six".