Search a number
-
+
16146357345 = 35513289183
BaseRepresentation
bin11110000100110010…
…11101110001100001
31112200021012221100000
433002121131301201
5231031431413340
611230104250213
71111056526056
oct170231356141
945607187300
1016146357345
11693621a288
123167470969
1316a41ab101
14ad258d02d
156477a5d30
hex3c265dc61

16146357345 has 24 divisors (see below), whose sum is σ = 29023577856. Its totient is φ = 8611389936.

The previous prime is 16146357319. The next prime is 16146357373. The reversal of 16146357345 is 54375364161.

16146357345 is a `hidden beast` number, since 1 + 6 + 1 + 4 + 635 + 7 + 3 + 4 + 5 = 666.

16146357345 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 16146357345 - 216 = 16146291809 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 16146357345.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 6643377 + ... + 6645806.

It is an arithmetic number, because the mean of its divisors is an integer number (1209315744).

Almost surely, 216146357345 is an apocalyptic number.

16146357345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

16146357345 is a deficient number, since it is larger than the sum of its proper divisors (12877220511).

16146357345 is an equidigital number, since it uses as much as digits as its factorization.

16146357345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13289203 (or 13289191 counting only the distinct ones).

The product of its digits is 907200, while the sum is 45.

The spelling of 16146357345 in words is "sixteen billion, one hundred forty-six million, three hundred fifty-seven thousand, three hundred forty-five".

Divisors: 1 3 5 9 15 27 45 81 135 243 405 1215 13289183 39867549 66445915 119602647 199337745 358807941 598013235 1076423823 1794039705 3229271469 5382119115 16146357345