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16798040064 = 214331323127
BaseRepresentation
bin11111010010011110…
…11100000000000000
31121100200110211222000
433221033130000000
5233400244240224
611414504144000
71133161661511
oct175117340000
947320424860
1016798040064
117140068143
123309768000
131779200ca0
14b54d4aa08
15684ad20c9
hex3e93dc000

16798040064 has 480 divisors, whose sum is σ = 56369725440. Its totient is φ = 4904976384.

The previous prime is 16798040057. The next prime is 16798040081. The reversal of 16798040064 is 46004089761.

16798040064 is a `hidden beast` number, since 167 + 9 + 80 + 400 + 6 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 132267969 + ... + 132268095.

It is an arithmetic number, because the mean of its divisors is an integer number (117436928).

Almost surely, 216798040064 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 16798040064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28184862720).

16798040064 is an abundant number, since it is smaller than the sum of its proper divisors (39571685376).

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

16798040064 is a wasteful number, since it uses less digits than its factorization.

16798040064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 16798040064 in words is "sixteen billion, seven hundred ninety-eight million, forty thousand, sixty-four".