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16285336704 = 2732713592633
BaseRepresentation
bin11110010101010111…
…01000010010000000
31120000221201211011200
433022223220102000
5231323021233304
611251551141200
71114365035520
oct171253502200
946027654150
1016285336704
1169a771455a
1231a5b14800
1316c6c1ba10
14b06c09680
15654aa9e39
hex3caae8480

16285336704 has 384 divisors, whose sum is σ = 58677091200. Its totient is φ = 4220633088.

The previous prime is 16285336699. The next prime is 16285336729. The reversal of 16285336704 is 40763358261.

16285336704 is a `hidden beast` number, since 1 + 6 + 285 + 3 + 367 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a self number, because there is not a number n which added to its sum of digits gives 16285336704.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6183772 + ... + 6186404.

It is an arithmetic number, because the mean of its divisors is an integer number (152804925).

Almost surely, 216285336704 is an apocalyptic number.

16285336704 is a gapful number since it is divisible by the number (14) 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 16285336704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29338545600).

16285336704 is an abundant number, since it is smaller than the sum of its proper divisors (42391754496).

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

16285336704 is a wasteful number, since it uses less digits than its factorization.

16285336704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2732 (or 2717 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 16285336704 in words is "sixteen billion, two hundred eighty-five million, three hundred thirty-six thousand, seven hundred four".