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18234379800 = 23355272131931
BaseRepresentation
bin10000111110110110…
…101000111000011000
31202001210012110200000
4100332312220320120
5244321000123200
612213214013000
71213602446100
oct207666507030
952053173600
1018234379800
11780791747a
12364a7a7160
131947964260
14c4d9dc200
1571ac54300
hex43eda8e18

18234379800 has 1728 divisors, whose sum is σ = 86444467200. Its totient is φ = 3527193600.

The previous prime is 18234379789. The next prime is 18234379873. The reversal of 18234379800 is 897343281.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 588205785 + ... + 588205815.

Almost surely, 218234379800 is an apocalyptic number.

18234379800 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 18234379800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43222233600).

18234379800 is an abundant number, since it is smaller than the sum of its proper divisors (68210087400).

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

18234379800 is a wasteful number, since it uses less digits than its factorization.

18234379800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 80 counting only the distinct ones).

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

The spelling of 18234379800 in words is "eighteen billion, two hundred thirty-four million, three hundred seventy-nine thousand, eight hundred".