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18189148320 = 2533573119403
BaseRepresentation
bin10000111100001010…
…000110000010100000
31201221122002110202000
4100330022012002200
5244222410221240
612204520324000
71212513131640
oct207412060240
951848073660
1018189148320
117794333392
123637613600
13193b488475
14c479c6520
15716cbc430
hex43c2860a0

18189148320 has 384 divisors, whose sum is σ = 75107450880. Its totient is φ = 4023198720.

The previous prime is 18189148303. The next prime is 18189148349. The reversal of 18189148320 is 2384198181.

18189148320 is a `hidden beast` number, since 1 + 8 + 189 + 148 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 927739 + ... + 947141.

It is an arithmetic number, because the mean of its divisors is an integer number (195592320).

Almost surely, 218189148320 is an apocalyptic number.

18189148320 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 18189148320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37553725440).

18189148320 is an abundant number, since it is smaller than the sum of its proper divisors (56918302560).

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

18189148320 is a wasteful number, since it uses less digits than its factorization.

18189148320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19465 (or 19451 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The spelling of 18189148320 in words is "eighteen billion, one hundred eighty-nine million, one hundred forty-eight thousand, three hundred twenty".