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18683112240 = 2433513331127
BaseRepresentation
bin10001011001100110…
…011010101100110000
31210020001120102212000
4101121212122230300
5301230334042430
612325523534000
71230661555662
oct213146325460
953201512760
1018683112240
117a18147831
123754b2a300
1319b9909000
14c9344a532
15745341e60
hex45999ab30

18683112240 has 640 divisors, whose sum is σ = 72528691200. Its totient is φ = 4415523840.

The previous prime is 18683112233. The next prime is 18683112257. The reversal of 18683112240 is 4221138681.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 18683112195 and 18683112204.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 147111057 + ... + 147111183.

It is an arithmetic number, because the mean of its divisors is an integer number (113326080).

Almost surely, 218683112240 is an apocalyptic number.

18683112240 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 18683112240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36264345600).

18683112240 is an abundant number, since it is smaller than the sum of its proper divisors (53845578960).

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

18683112240 is a wasteful number, since it uses less digits than its factorization.

18683112240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 18683112240 in words is "eighteen billion, six hundred eighty-three million, one hundred twelve thousand, two hundred forty".