Search a number
-
+
3459185916020 = 225502134447181
BaseRepresentation
bin110010010101100111100…
…011000011100001110100
3110020200202121120200220122
4302111213203003201310
5423133403043303040
611205043355151112
7504626565100112
oct62254743034164
913220677520818
103459185916020
11111403a2a585a
1247a4b6445498
131c127a053b13
14bd5d5798ab2
155eeac1851b5
hex325678c3874

3459185916020 has 24 divisors (see below), whose sum is σ = 7265737416168. Its totient is φ = 1383398748800.

The previous prime is 3459185915909. The next prime is 3459185916049. The reversal of 3459185916020 is 206195819543.

It can be written as a sum of positive squares in 4 ways, for example, as 1140735074704 + 2318450841316 = 1068052^2 + 1522646^2 .

It is a super-2 number, since 2×34591859160202 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17123171 + ... + 17324010.

It is an arithmetic number, because the mean of its divisors is an integer number (302739059007).

Almost surely, 23459185916020 is an apocalyptic number.

It is an amenable number.

3459185916020 is an abundant number, since it is smaller than the sum of its proper divisors (3806551500148).

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

3459185916020 is a wasteful number, since it uses less digits than its factorization.

3459185916020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34452211 (or 34452209 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 53.

The spelling of 3459185916020 in words is "three trillion, four hundred fifty-nine billion, one hundred eighty-five million, nine hundred sixteen thousand, twenty".

Divisors: 1 2 4 5 10 20 5021 10042 20084 25105 50210 100420 34447181 68894362 137788724 172235905 344471810 688943620 172959295801 345918591602 691837183204 864796479005 1729592958010 3459185916020