Search a number
-
+
16129692161 = 112167798223
BaseRepresentation
bin11110000010110011…
…11001001000000001
31112122002212020222222
433001121321020001
5231013200122121
611224311140425
71110465056402
oct170131711001
945562766888
1016129692161
116927877500
123161974715
1316a08c485b
14ad02919a9
156460b30ab
hex3c1679201

16129692161 has 12 divisors (see below), whose sum is σ = 17835517056. Its totient is φ = 14575533720.

The previous prime is 16129692107. The next prime is 16129692179.

16129692161 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2k-16129692161 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (16129691161) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 378905 + ... + 419318.

It is an arithmetic number, because the mean of its divisors is an integer number (1486293088).

Almost surely, 216129692161 is an apocalyptic number.

16129692161 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

16129692161 is a deficient number, since it is larger than the sum of its proper divisors (1705824895).

16129692161 is a wasteful number, since it uses less digits than its factorization.

16129692161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 798412 (or 798401 counting only the distinct ones).

The product of its digits is 69984, while the sum is 44.

The spelling of 16129692161 in words is "sixteen billion, one hundred twenty-nine million, six hundred ninety-two thousand, one hundred sixty-one".

Divisors: 1 11 121 167 1837 20207 798223 8780453 96584983 133303241 1466335651 16129692161