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1818466848 = 253411234759
BaseRepresentation
bin110110001100011…
…1001101000100000
311200201202200120000
41230120321220200
512211011414343
6500240020000
763030466422
oct15430715040
94621680500
101818466848
11853528070
12429001600
1322c9876b3
14133722812
15a99a4ed3
hex6c639a20

1818466848 has 480 divisors, whose sum is σ = 6322821120. Its totient is φ = 507133440.

The previous prime is 1818466843. The next prime is 1818466849. The reversal of 1818466848 is 8486648181.

It is a happy number.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1818466794 and 1818466803.

It is not an unprimeable number, because it can be changed into a prime (1818466843) 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 79 ways as a sum of consecutive naturals, for example, 30821443 + ... + 30821501.

It is an arithmetic number, because the mean of its divisors is an integer number (13172544).

Almost surely, 21818466848 is an apocalyptic number.

1818466848 is a gapful number since it is divisible by the number (18) 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 1818466848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3161410560).

1818466848 is an abundant number, since it is smaller than the sum of its proper divisors (4504354272).

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

1818466848 is a wasteful number, since it uses less digits than its factorization.

1818466848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 145 counting only the distinct ones).

The product of its digits is 2359296, while the sum is 54.

The square root of 1818466848 is about 42643.4854110215. The cubic root of 1818466848 is about 1220.5862201077.

The spelling of 1818466848 in words is "one billion, eight hundred eighteen million, four hundred sixty-six thousand, eight hundred forty-eight".