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18064650240 = 212335713359
BaseRepresentation
bin10000110100101111…
…001011000000000000
31201121221211022111000
4100310233023000000
5243444022301430
612144312052000
71206441664530
oct206457130000
951557738430
1018064650240
11773002a10a
123601994000
13191b748070
14c352594c0
1570adc8e60
hex434bcb000

18064650240 has 832 divisors, whose sum is σ = 79262668800. Its totient is φ = 3800825856.

The previous prime is 18064650209. The next prime is 18064650259. The reversal of 18064650240 is 4205646081.

18064650240 is a `hidden beast` number, since 1 + 8 + 0 + 646 + 5 + 0 + 2 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (832).

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 = 18064650195 and 18064650204.

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, 50319181 + ... + 50319539.

Almost surely, 218064650240 is an apocalyptic number.

18064650240 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 18064650240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39631334400).

18064650240 is an abundant number, since it is smaller than the sum of its proper divisors (61198018560).

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

18064650240 is a wasteful number, since it uses less digits than its factorization.

18064650240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 18064650240 in words is "eighteen billion, sixty-four million, six hundred fifty thousand, two hundred forty".