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18230253120 = 263354153971
BaseRepresentation
bin10000111110100110…
…111001011001000000
31202001111102210221000
4100332212321121000
5244313421044440
612212545332000
71213522411002
oct207646713100
952044383830
1018230253120
117805558aa2
123649337000
131946b4ab31
14c4d246372
1571a6db730
hex43e9b9640

18230253120 has 448 divisors, whose sum is σ = 67193038080. Its totient is φ = 4648550400.

The previous prime is 18230253113. The next prime is 18230253121. The reversal of 18230253120 is 2135203281.

18230253120 is a `hidden beast` number, since 1 + 82 + 30 + 2 + 531 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (18230253121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18774235 + ... + 18775205.

It is an arithmetic number, because the mean of its divisors is an integer number (149984460).

Almost surely, 218230253120 is an apocalyptic number.

18230253120 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 18230253120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33596519040).

18230253120 is an abundant number, since it is smaller than the sum of its proper divisors (48962784960).

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

18230253120 is a wasteful number, since it uses less digits than its factorization.

18230253120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1091 (or 1075 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 18230253120 in words is "eighteen billion, two hundred thirty million, two hundred fifty-three thousand, one hundred twenty".