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18022382640 = 243251091311753
BaseRepresentation
bin10000110010001101…
…111011110000110000
31201112000021220020100
4100302031323300300
5243402212221030
612140202112400
71205416503423
oct206215736060
951460256210
1018022382640
11770918a909
1235ab7ab700
131912a69352
14c2d7b59ba
1570732a360
hex43237bc30

18022382640 has 240 divisors, whose sum is σ = 61581817440. Its totient is φ = 4722831360.

The previous prime is 18022382639. The next prime is 18022382689. The reversal of 18022382640 is 4628322081.

18022382640 is a `hidden beast` number, since 1 + 8 + 0 + 2 + 2 + 3 + 8 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 18022382595 and 18022382604.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10280004 + ... + 10281756.

It is an arithmetic number, because the mean of its divisors is an integer number (256590906).

Almost surely, 218022382640 is an apocalyptic number.

18022382640 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 18022382640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30790908720).

18022382640 is an abundant number, since it is smaller than the sum of its proper divisors (43559434800).

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

18022382640 is a wasteful number, since it uses less digits than its factorization.

18022382640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2012 (or 2003 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 18022382640 in words is "eighteen billion, twenty-two million, three hundred eighty-two thousand, six hundred forty".