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18400148000 = 2553131073307
BaseRepresentation
bin10001001000101110…
…111111101000100000
31202111100010100212222
4101020232333220200
5300140414214000
612241455010212
71220654451233
oct211056775040
952440110788
1018400148000
117892449593
123696209968
1319730c4350
14c67a2d41a
1572a59aa85
hex448bbfa20

18400148000 has 192 divisors, whose sum is σ = 49156668288. Its totient is φ = 6728371200.

The previous prime is 18400147957. The next prime is 18400148021. The reversal of 18400148000 is 84100481.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5562347 + ... + 5565653.

It is an arithmetic number, because the mean of its divisors is an integer number (256024314).

Almost surely, 218400148000 is an apocalyptic number.

18400148000 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 18400148000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24578334144).

18400148000 is an abundant number, since it is smaller than the sum of its proper divisors (30756520288).

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

18400148000 is a wasteful number, since it uses less digits than its factorization.

18400148000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3452 (or 3434 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 26.

Adding to 18400148000 its reverse (84100481), we get a palindrome (18484248481).

The spelling of 18400148000 in words is "eighteen billion, four hundred million, one hundred forty-eight thousand".