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18020259840 = 211351153327
BaseRepresentation
bin10000110010000101…
…110101100000000000
31201111212022001022010
4100302011311200000
5243401141303330
612140044412520
71205362452462
oct206205654000
951455261263
1018020259840
117707a6aa30
1235aab47140
1319124a505b
14c2d3c2132
1570705b3b0
hex432175800

18020259840 has 192 divisors, whose sum is σ = 62892910080. Its totient is φ = 4368465920.

The previous prime is 18020259799. The next prime is 18020259863. The reversal of 18020259840 is 4895202081.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×180202598402 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 311257 + ... + 364583.

It is an arithmetic number, because the mean of its divisors is an integer number (327567240).

Almost surely, 218020259840 is an apocalyptic number.

18020259840 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 18020259840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31446455040).

18020259840 is an abundant number, since it is smaller than the sum of its proper divisors (44872650240).

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

18020259840 is a wasteful number, since it uses less digits than its factorization.

18020259840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53368 (or 53348 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 39.

It can be divided in two parts, 180202 and 59840, that added together give a palindrome (240042).

The spelling of 18020259840 in words is "eighteen billion, twenty million, two hundred fifty-nine thousand, eight hundred forty".