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18138127280 = 24571331179449
BaseRepresentation
bin10000111001000111…
…011101101110110000
31201211002002100000212
4100321013131232300
5244121330033110
612155455003252
71211323352360
oct207107355660
951732070025
1018138127280
117768555539
123622509528
131930a333c0
14c40d049a0
1571258ee05
hex4391ddbb0

18138127280 has 320 divisors, whose sum is σ = 53996544000. Its totient is φ = 5511905280.

The previous prime is 18138127277. The next prime is 18138127303. The reversal of 18138127280 is 8272183181.

It is a super-2 number, since 2×181381272802 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40396496 + ... + 40396944.

It is an arithmetic number, because the mean of its divisors is an integer number (168739200).

Almost surely, 218138127280 is an apocalyptic number.

18138127280 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 18138127280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26998272000).

18138127280 is an abundant number, since it is smaller than the sum of its proper divisors (35858416720).

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

18138127280 is a wasteful number, since it uses less digits than its factorization.

18138127280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 692 (or 686 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 41.

The spelling of 18138127280 in words is "eighteen billion, one hundred thirty-eight million, one hundred twenty-seven thousand, two hundred eighty".