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16235238240 = 25375134383
BaseRepresentation
bin11110001111011001…
…00001001101100000
31112220110110120000000
433013230201031200
5231222210110430
611243001300000
71113216151044
oct170754411540
945813416000
1016235238240
116981406871
123191194600
1316b972a860
14b002c8024
156504b0e60
hex3c7b21360

16235238240 has 768 divisors, whose sum is σ = 64154280960. Its totient is φ = 3856398336.

The previous prime is 16235238209. The next prime is 16235238317. The reversal of 16235238240 is 4283253261.

16235238240 is a `hidden beast` number, since 1 + 6 + 235 + 2 + 382 + 40 = 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 = 16235238195 and 16235238204.

It is a congruent number.

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, 195605239 + ... + 195605321.

It is an arithmetic number, because the mean of its divisors is an integer number (83534220).

Almost surely, 216235238240 is an apocalyptic number.

16235238240 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 16235238240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32077140480).

16235238240 is an abundant number, since it is smaller than the sum of its proper divisors (47919042720).

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

16235238240 is an equidigital number, since it uses as much as digits as its factorization.

16235238240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 16235238240 in words is "sixteen billion, two hundred thirty-five million, two hundred thirty-eight thousand, two hundred forty".