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18073591300 = 22524140110993
BaseRepresentation
bin10000110101010001…
…010001111000000100
31201122120122120022101
4100311101101320010
5244003314410200
612145231441444
71206610664002
oct206521217004
951576576271
1018073591300
117735086716
123604986284
13192055892b
14c36505a72
1570ba9326a
hex435451e04

18073591300 has 72 divisors (see below), whose sum is σ = 40280125032. Its totient is φ = 7034880000.

The previous prime is 18073591273. The next prime is 18073591301. The reversal of 18073591300 is 319537081.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 6723672004 + 11349919296 = 81998^2 + 106536^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 18073591300.

It is not an unprimeable number, because it can be changed into a prime (18073591301) 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 23 ways as a sum of consecutive naturals, for example, 1638604 + ... + 1649596.

It is an arithmetic number, because the mean of its divisors is an integer number (559446181).

Almost surely, 218073591300 is an apocalyptic number.

18073591300 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 18073591300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20140062516).

18073591300 is an abundant number, since it is smaller than the sum of its proper divisors (22206533732).

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

18073591300 is a wasteful number, since it uses less digits than its factorization.

18073591300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11449 (or 11442 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 37.

The spelling of 18073591300 in words is "eighteen billion, seventy-three million, five hundred ninety-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 41 50 82 100 164 205 401 410 802 820 1025 1604 2005 2050 4010 4100 8020 10025 10993 16441 20050 21986 32882 40100 43972 54965 65764 82205 109930 164410 219860 274825 328820 411025 450713 549650 822050 901426 1099300 1644100 1802852 2253565 4408193 4507130 8816386 9014260 11267825 17632772 22040965 22535650 44081930 45071300 88163860 110204825 180735913 220409650 361471826 440819300 722943652 903679565 1807359130 3614718260 4518397825 9036795650 18073591300