Search a number
-
+
16689992160 = 2535196592777
BaseRepresentation
bin11111000101100110…
…10001000111100000
31121002011011110002210
433202303101013200
5233140114222120
611400044242120
71130410410162
oct174263210740
947064143083
1016689992160
11709507a156
123299540340
13175ca0030a
14b44862932
1567a38cce0
hex3e2cd11e0

16689992160 has 192 divisors, whose sum is σ = 55444435200. Its totient is φ = 4208504832.

The previous prime is 16689992129. The next prime is 16689992161. The reversal of 16689992160 is 6129998661.

It is a super-2 number, since 2×166899921602 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 16689992160.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16689992161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6008692 + ... + 6011468.

It is an arithmetic number, because the mean of its divisors is an integer number (288773100).

Almost surely, 216689992160 is an apocalyptic number.

16689992160 is a gapful number since it is divisible by the number (10) 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 16689992160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27722217600).

16689992160 is an abundant number, since it is smaller than the sum of its proper divisors (38754443040).

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

16689992160 is a wasteful number, since it uses less digits than its factorization.

16689992160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3473 (or 3465 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 57.

The spelling of 16689992160 in words is "sixteen billion, six hundred eighty-nine million, nine hundred ninety-two thousand, one hundred sixty".