Search a number
-
+
3480673874418 = 23213104571422461
BaseRepresentation
bin110010101001101000010…
…101000111000111110010
3110022202020010222002100200
4302221220111013013302
5424011410002440133
611222555520500030
7506320225530126
oct62515025070762
913282203862320
103480673874418
11112216672aa64
124826b277a616
131c32c2a95ac0
14c067352b586
156081886c913
hex32a685471f2

3480673874418 has 48 divisors (see below), whose sum is σ = 8122354747416. Its totient is φ = 1070873406720.

The previous prime is 3480673874417. The next prime is 3480673874441. The reversal of 3480673874418 is 8144783760843.

3480673874418 is a `hidden beast` number, since 3 + 4 + 80 + 6 + 73 + 8 + 74 + 418 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3027067583409 + 453606291009 = 1739847^2 + 673503^2 .

It is a super-2 number, since 2×34806738744182 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3480673874417) 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, 1735708 + ... + 3158168.

Almost surely, 23480673874418 is an apocalyptic number.

3480673874418 is an abundant number, since it is smaller than the sum of its proper divisors (4641680872998).

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

3480673874418 is a wasteful number, since it uses less digits than its factorization.

3480673874418 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1432939 (or 1432936 counting only the distinct ones).

The product of its (nonzero) digits is 86704128, while the sum is 63.

The spelling of 3480673874418 in words is "three trillion, four hundred eighty billion, six hundred seventy-three million, eight hundred seventy-four thousand, four hundred eighteen".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 10457 20914 31371 62742 94113 135941 188226 271882 407823 815646 1223469 1422461 2446938 2844922 4267383 8534766 12802149 18491993 25604298 36983986 55475979 110951958 166427937 332855874 14874674677 29749349354 44624024031 89248048062 133872072093 193370770801 267744144186 386741541602 580112312403 1160224624806 1740336937209 3480673874418