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18000723312 = 243411132341103
BaseRepresentation
bin10000110000111011…
…010011110101110000
31201110111112111020000
4100300323103311300
5243331141121222
612134105550000
71205034423615
oct206073236560
951414474200
1018000723312
1176a7a36940
1235a44a5300
13190b424890
14c2a97850c
1570549c9ac
hex430ed3d70

18000723312 has 800 divisors, whose sum is σ = 66061771776. Its totient is φ = 4653158400.

The previous prime is 18000723277. The next prime is 18000723331. The reversal of 18000723312 is 21332700081.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 159 ways as a sum of consecutive naturals, for example, 174764253 + ... + 174764355.

Almost surely, 218000723312 is an apocalyptic number.

18000723312 is a gapful number since it is divisible by the number (12) 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 18000723312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33030885888).

18000723312 is an abundant number, since it is smaller than the sum of its proper divisors (48061048464).

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

18000723312 is a wasteful number, since it uses less digits than its factorization.

18000723312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The spelling of 18000723312 in words is "eighteen billion, seven hundred twenty-three thousand, three hundred twelve".