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18327804000 = 2535311433229
BaseRepresentation
bin10001000100011011…
…000001100001100000
31202022021222220120120
4101010123001201200
5300013404212000
612230352240240
71216115522622
oct210433014140
952267886516
1018327804000
117855627460
123675b40080
13196111494c
14c5c19ac12
1572405a6a0
hex4446c1860

18327804000 has 384 divisors, whose sum is σ = 67044257280. Its totient is φ = 4338432000.

The previous prime is 18327803951. The next prime is 18327804049. The reversal of 18327804000 is 40872381.

It is an interprime number because it is at equal distance from previous prime (18327803951) and next prime (18327804049).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 5674386 + ... + 5677614.

It is an arithmetic number, because the mean of its divisors is an integer number (174594420).

Almost surely, 218327804000 is an apocalyptic number.

18327804000 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 18327804000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33522128640).

18327804000 is an abundant number, since it is smaller than the sum of its proper divisors (48716453280).

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

18327804000 is a wasteful number, since it uses less digits than its factorization.

18327804000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3311 (or 3293 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The spelling of 18327804000 in words is "eighteen billion, three hundred twenty-seven million, eight hundred four thousand".