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18423288000 = 263115313
BaseRepresentation
bin10001001010000111…
…010001000011000000
31202112221200000000000
4101022013101003000
5300212330204000
612244043000000
71221355235625
oct211207210300
952487600000
1018423288000
1178a4513a57
1236a1b09000
131977b36a60
14c6ab3434c
1572c61c000
hex44a1d10c0

18423288000 has 672 divisors, whose sum is σ = 73702224960. Its totient is φ = 4534963200.

The previous prime is 18423287933. The next prime is 18423288001. The reversal of 18423288000 is 88232481.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (18423288001) by changing a digit.

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, 1417175994 + ... + 1417176006.

It is an arithmetic number, because the mean of its divisors is an integer number (109675930).

Almost surely, 218423288000 is an apocalyptic number.

18423288000 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 18423288000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36851112480).

18423288000 is an abundant number, since it is smaller than the sum of its proper divisors (55278936960).

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

18423288000 is an frugal number, since it uses more digits than its factorization.

18423288000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 18423288000 in words is "eighteen billion, four hundred twenty-three million, two hundred eighty-eight thousand".