Search a number
-
+
6918166060 = 22513193137867
BaseRepresentation
bin1100111000101101…
…01101011000101100
3122212010202020201121
412130112231120230
5103132022303220
63102252150324
7333303304231
oct63426553054
918763666647
106918166060
112a30140613
121410a683a4
13863382bb0
14498b37788
152a7551eaa
hex19c5ad62c

6918166060 has 48 divisors (see below), whose sum is σ = 15726878496. Its totient is φ = 2541146112.

The previous prime is 6918166039. The next prime is 6918166063. The reversal of 6918166060 is 606618196.

It is a happy number.

It is a super-3 number, since 3×69181660603 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 6918165998 and 6918166016.

It is not an unprimeable number, because it can be changed into a prime (6918166063) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 18754 + ... + 119113.

It is an arithmetic number, because the mean of its divisors is an integer number (327643302).

Almost surely, 26918166060 is an apocalyptic number.

It is an amenable number.

6918166060 is an abundant number, since it is smaller than the sum of its proper divisors (8808712436).

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

6918166060 is a wasteful number, since it uses less digits than its factorization.

6918166060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138082 (or 138080 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 43.

The square root of 6918166060 is about 83175.5135842274. The cubic root of 6918166060 is about 1905.4475297813.

The spelling of 6918166060 in words is "six billion, nine hundred eighteen million, one hundred sixty-six thousand, sixty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 193 260 386 772 965 1930 2509 3860 5018 10036 12545 25090 50180 137867 275734 551468 689335 1378670 1792271 2757340 3584542 7169084 8961355 17922710 26608331 35845420 53216662 106433324 133041655 266083310 345908303 532166620 691816606 1383633212 1729541515 3459083030 6918166060