Search a number
-
+
16995483648 = 215321113231
BaseRepresentation
bin11111101010000001…
…01000000000000000
31121212110000000122100
433311000220000000
5234301320434043
611450240110400
71141110141003
oct176500500000
947773000570
1016995483648
117231564460
123363905400
1317ab0a1800
14b7326553a
156970d3cd3
hex3f5028000

16995483648 has 576 divisors, whose sum is σ = 59868581760. Its totient is φ = 4600627200.

The previous prime is 16995483607. The next prime is 16995483653. The reversal of 16995483648 is 84638459961.

16995483648 is a `hidden beast` number, since 1 + 6 + 9 + 95 + 483 + 64 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

Its product of digits (44789760) is a multiple of the sum of its prime divisors (60).

It is a zygodrome in base 4.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 548241393 + ... + 548241423.

It is an arithmetic number, because the mean of its divisors is an integer number (103938510).

Almost surely, 216995483648 is an apocalyptic number.

16995483648 is a gapful number since it is divisible by the number (18) 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 16995483648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29934290880).

16995483648 is an abundant number, since it is smaller than the sum of its proper divisors (42873098112).

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

16995483648 is a wasteful number, since it uses less digits than its factorization.

16995483648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 60 counting only the distinct ones).

The product of its digits is 44789760, while the sum is 63.

The spelling of 16995483648 in words is "sixteen billion, nine hundred ninety-five million, four hundred eighty-three thousand, six hundred forty-eight".