Search a number
-
+
16736664672 = 25327131922961
BaseRepresentation
bin11111001011001010…
…10011110001100000
31121012101222122202100
433211211103301200
5233234041232142
611404432450400
71131515205510
oct174545236140
947171878670
1016736664672
117109457982
1232b10a9a00
131769591ca0
14b4ab31840
1567e50bb4c
hex3e5953c60

16736664672 has 864 divisors, whose sum is σ = 65003964480. Its totient is φ = 3971358720.

The previous prime is 16736664671. The next prime is 16736664673. The reversal of 16736664672 is 27646663761.

16736664672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (16736664671) and next prime (16736664673).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16736664671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 274371522 + ... + 274371582.

It is an arithmetic number, because the mean of its divisors is an integer number (75236070).

Almost surely, 216736664672 is an apocalyptic number.

16736664672 is a gapful number since it is divisible by the number (12) 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 16736664672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32501982240).

16736664672 is an abundant number, since it is smaller than the sum of its proper divisors (48267299808).

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

16736664672 is a wasteful number, since it uses less digits than its factorization.

16736664672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 134 counting only the distinct ones).

The product of its digits is 9144576, while the sum is 54.

The spelling of 16736664672 in words is "sixteen billion, seven hundred thirty-six million, six hundred sixty-four thousand, six hundred seventy-two".