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16005482064 = 24341113671289
BaseRepresentation
bin11101110100000000…
…00100011001010000
31112022110010201210000
432322000010121100
5230234400411224
611204113010000
71104426232005
oct167200043120
945273121700
1016005482064
11687374a630
123128253900
131680c55560
14abb99b8ac
1563a22a0c9
hex3ba004650

16005482064 has 400 divisors, whose sum is σ = 55278336960. Its totient is φ = 4406814720.

The previous prime is 16005482033. The next prime is 16005482083. The reversal of 16005482064 is 46028450061.

16005482064 is a `hidden beast` number, since 1 + 600 + 5 + 48 + 2 + 0 + 6 + 4 = 666.

It is a super-2 number, since 2×160054820642 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 12416332 + ... + 12417620.

Almost surely, 216005482064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16005482064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27639168480).

16005482064 is an abundant number, since it is smaller than the sum of its proper divisors (39272854896).

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

16005482064 is a wasteful number, since it uses less digits than its factorization.

16005482064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1400 (or 1385 counting only the distinct ones).

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

The spelling of 16005482064 in words is "sixteen billion, five million, four hundred eighty-two thousand, sixty-four".