Search a number
-
+
16601682141 = 3211237291033
BaseRepresentation
bin11110111011000100…
…11001000011011101
31120211222222211112100
433131202121003131
5233000012312031
611343211355313
71125255653442
oct173542310335
946758884470
1016601682141
11704a242570
123273a52b39
131747620675
14b36c359c9
15672746de6
hex3dd8990dd

16601682141 has 24 divisors (see below), whose sum is σ = 27297631296. Its totient is φ = 9624162240.

The previous prime is 16601682109. The next prime is 16601682169. The reversal of 16601682141 is 14128610661.

16601682141 is a `hidden beast` number, since 1 + 6 + 601 + 6 + 8 + 2 + 1 + 41 = 666.

It is not a de Polignac number, because 16601682141 - 25 = 16601682109 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 16601682096 and 16601682105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16601682101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3643240 + ... + 3647793.

It is an arithmetic number, because the mean of its divisors is an integer number (1137401304).

Almost surely, 216601682141 is an apocalyptic number.

16601682141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

16601682141 is a deficient number, since it is larger than the sum of its proper divisors (10695949155).

16601682141 is a wasteful number, since it uses less digits than its factorization.

16601682141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7291073 (or 7291070 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 16601682141 in words is "sixteen billion, six hundred one million, six hundred eighty-two thousand, one hundred forty-one".

Divisors: 1 3 9 11 23 33 69 99 207 253 759 2277 7291033 21873099 65619297 80201363 167693759 240604089 503081277 721812267 1509243831 1844631349 5533894047 16601682141