Search a number
-
+
18069246720 = 28355743193
BaseRepresentation
bin10000110101000000…
…101101001100000000
31201122021110211200000
4100311000231030000
5244001211343340
612144554400000
71206526030410
oct206500551400
951567424600
1018069246720
117732689558
123603430000
13191c697285
14c35ad4640
1570b4d5d30
hex43502d300

18069246720 has 864 divisors, whose sum is σ = 76211046912. Its totient is φ = 4013162496.

The previous prime is 18069246719. The next prime is 18069246731. The reversal of 18069246720 is 2764296081.

It is a happy number.

18069246720 is a `hidden beast` number, since 1 + 80 + 6 + 92 + 467 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 93622944 + ... + 93623136.

Almost surely, 218069246720 is an apocalyptic number.

18069246720 is a gapful number since it is divisible by the number (10) 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 18069246720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38105523456).

18069246720 is an abundant number, since it is smaller than the sum of its proper divisors (58141800192).

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

18069246720 is an equidigital number, since it uses as much as digits as its factorization.

18069246720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 18069246720 in words is "eighteen billion, sixty-nine million, two hundred forty-six thousand, seven hundred twenty".