Search a number
-
+
3106669174084 = 2272371523281279
BaseRepresentation
bin101101001101010011111…
…010011001110101000100
3101222222212010010202122101
4231031103322121311010
5401344424302032314
610335103434041444
7440310105163600
oct55152372316504
911888763122571
103106669174084
11a98592837aa3
12422115279284
13196c5ac438a8
14aa513998500
1555c291ea174
hex2d353e99d44

3106669174084 has 72 divisors (see below), whose sum is σ = 6499505456640. Its totient is φ = 1294589870784.

The previous prime is 3106669174051. The next prime is 3106669174087. The reversal of 3106669174084 is 4804719666013.

It is not an unprimeable number, because it can be changed into a prime (3106669174087) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10904157 + ... + 11185435.

It is an arithmetic number, because the mean of its divisors is an integer number (90270909120).

Almost surely, 23106669174084 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3106669174084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3249752728320).

3106669174084 is an abundant number, since it is smaller than the sum of its proper divisors (3392836282556).

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

3106669174084 is a wasteful number, since it uses less digits than its factorization.

3106669174084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282857 (or 282848 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 55.

The spelling of 3106669174084 in words is "three trillion, one hundred six billion, six hundred sixty-nine million, one hundred seventy-four thousand, eighty-four".

Divisors: 1 2 4 7 14 28 37 49 74 98 148 196 259 518 1036 1523 1813 3046 3626 6092 7252 10661 21322 42644 56351 74627 112702 149254 225404 281279 298508 394457 562558 788914 1125116 1577828 1968953 2761199 3937906 5522398 7875812 10407323 11044796 13782671 20814646 27565342 41629292 55130684 72851261 145702522 291405044 428387917 509958827 856775834 1019917654 1713551668 2039835308 2998715419 5997430838 11994861676 15850352929 20991007933 31700705858 41982015866 63401411716 83964031732 110952470503 221904941006 443809882012 776667293521 1553334587042 3106669174084