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18003928320 = 2835578269
BaseRepresentation
bin10000110001000111…
…100010010100000000
31201110201120022200000
4100301013202110000
5243333001201240
612134302400000
71205103602640
oct206107422400
951421508600
1018003928320
1176a9825904
1235a5590000
13190bca7631
14c2b170520
157058d2430
hex4311e2500

18003928320 has 432 divisors, whose sum is σ = 73836147840. Its totient is φ = 4114685952.

The previous prime is 18003928273. The next prime is 18003928321. The reversal of 18003928320 is 2382930081.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18003928321) 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 47 ways as a sum of consecutive naturals, for example, 2173146 + ... + 2181414.

Almost surely, 218003928320 is an apocalyptic number.

18003928320 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 18003928320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36918073920).

18003928320 is an abundant number, since it is smaller than the sum of its proper divisors (55832219520).

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

18003928320 is an frugal number, since it uses more digits than its factorization.

18003928320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8312 (or 8286 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 18003928320 in words is "eighteen billion, three million, nine hundred twenty-eight thousand, three hundred twenty".