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18198545040 = 243251319313301
BaseRepresentation
bin10000111100101101…
…111100001010010000
31201222021202212121200
4100330231330022100
5244232311420130
612205453551200
71212656036424
oct207455741220
951867685550
1018198545040
117799671275
12363a7a5500
1319403c8560
14c48d50b84
15717a26760
hex43cb7c290

18198545040 has 480 divisors, whose sum is σ = 71538754560. Its totient is φ = 4105728000.

The previous prime is 18198544921. The next prime is 18198545063. The reversal of 18198545040 is 4054589181.

It is a happy number.

18198545040 is a `hidden beast` number, since 1 + 8 + 1 + 98 + 54 + 504 + 0 = 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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5511390 + ... + 5514690.

It is an arithmetic number, because the mean of its divisors is an integer number (149039072).

Almost surely, 218198545040 is an apocalyptic number.

18198545040 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 18198545040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35769377280).

18198545040 is an abundant number, since it is smaller than the sum of its proper divisors (53340209520).

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

18198545040 is a wasteful number, since it uses less digits than its factorization.

18198545040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3383 (or 3374 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 45.

The spelling of 18198545040 in words is "eighteen billion, one hundred ninety-eight million, five hundred forty-five thousand, forty".