Search a number
-
+
3209160128009 = 1121737918112273
BaseRepresentation
bin101110101100110000110…
…110010111011000001001
3102100210101212221200021212
4232230300312113120021
5410034324443044014
610454133502542505
7450565660003463
oct56546066273011
912323355850255
103209160128009
111027aa7258700
12439b59297a35
131a3812836164
14b1477793133
1558726e7523e
hex2eb30d97609

3209160128009 has 48 divisors (see below), whose sum is σ = 3748490343360. Its totient is φ = 2735844249600.

The previous prime is 3209160127937. The next prime is 3209160128099. The reversal of 3209160128009 is 9008210619023.

3209160128009 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 3209160128009 - 232 = 3204865160713 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3209160128099) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1411859897 + ... + 1411862169.

It is an arithmetic number, because the mean of its divisors is an integer number (78093548820).

Almost surely, 23209160128009 is an apocalyptic number.

It is an amenable number.

3209160128009 is a deficient number, since it is larger than the sum of its proper divisors (539330215351).

3209160128009 is a wasteful number, since it uses less digits than its factorization.

3209160128009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4502 (or 4491 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 41.

The spelling of 3209160128009 in words is "three trillion, two hundred nine billion, one hundred sixty million, one hundred twenty-eight thousand, nine".

Divisors: 1 11 17 121 187 379 1811 2057 2273 4169 6443 19921 25003 30787 38641 45859 70873 219131 275033 338657 425051 686369 779603 861467 3725227 4116403 4675561 7550059 9476137 11668273 14644939 45280433 69978851 83050649 104237507 128351003 161094329 498084763 769767361 1411861033 1560116737 1772037619 8467440971 17161284107 26521984529 188774125177 291741829819 3209160128009