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18020856240 = 2433543251773
BaseRepresentation
bin10000110010001000…
…000111000110110000
31201111220102100102000
4100302020013012300
5243401314344430
612140105254000
71205400515322
oct206210070660
951456370360
1018020856240
117708338022
1235ab194300
13191265365a
14c2d4d9612
15707127e60
hex4322071b0

18020856240 has 320 divisors, whose sum is σ = 63850913280. Its totient is φ = 4669056000.

The previous prime is 18020856187. The next prime is 18020856263. The reversal of 18020856240 is 4265802081.

18020856240 is a `hidden beast` number, since 1 + 8 + 0 + 20 + 8 + 5 + 624 + 0 = 666.

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 = 18020856195 and 18020856204.

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, 23312494 + ... + 23313266.

It is an arithmetic number, because the mean of its divisors is an integer number (199534104).

Almost surely, 218020856240 is an apocalyptic number.

18020856240 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 18020856240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31925456640).

18020856240 is an abundant number, since it is smaller than the sum of its proper divisors (45830057040).

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

18020856240 is a wasteful number, since it uses less digits than its factorization.

18020856240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1089 (or 1077 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 18020856240 in words is "eighteen billion, twenty million, eight hundred fifty-six thousand, two hundred forty".