Search a number
-
+
16929642816 = 26361093329
BaseRepresentation
bin11111100010001010…
…11101100101000000
31121200212002222000000
433301011131211000
5234132442032231
611435525000000
71136350406142
oct176105354500
947625088000
1016929642816
1171a8384249
123345853000
13179a55b138
14b68606c92
1569142a6e6
hex3f115d940

16929642816 has 196 divisors, whose sum is σ = 50846469300. Its totient is φ = 5589762048.

The previous prime is 16929642809. The next prime is 16929642817. The reversal of 16929642816 is 61824692961.

It can be written as a sum of positive squares in 2 ways, for example, as 9239054400 + 7690588416 = 96120^2 + 87696^2 .

It is a super-2 number, since 2×169296428162 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 (16929642817) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 5083840 + ... + 5087168.

Almost surely, 216929642816 is an apocalyptic number.

16929642816 is a gapful number since it is divisible by the number (16) 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 16929642816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25423234650).

16929642816 is an abundant number, since it is smaller than the sum of its proper divisors (33916826484).

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

16929642816 is an equidigital number, since it uses as much as digits as its factorization.

16929642816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3468 (or 3443 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 54.

The spelling of 16929642816 in words is "sixteen billion, nine hundred twenty-nine million, six hundred forty-two thousand, eight hundred sixteen".