Search a number
-
+
4642960491009 = 342394172
BaseRepresentation
bin100001110010000011000…
…0000101100001000000001
3121102212021220021211010000
41003210012000230020001
51102032240341203014
613512540244430213
7656304614003061
oct103440600541001
917385256254100
104642960491009
111530083178995
1262ba060a8369
13278aa1c68809
14120a130313a1
1580b9269c509
hex4390602c201

4642960491009 has 15 divisors (see below), whose sum is σ = 6935809456147. Its totient is φ = 3095294065488.

The previous prime is 4642960490981. The next prime is 4642960491041. The reversal of 4642960491009 is 9001940692464.

It is a happy number.

The square root of 4642960491009 is 2154753.

It is a perfect power (a square), and thus also a powerful number.

4642960491009 is a `hidden beast` number, since 4 + 6 + 4 + 29 + 604 + 9 + 1 + 0 + 0 + 9 = 666.

4642960491009 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 2790987890625 + 1851972600384 = 1670625^2 + 1360872^2 .

It is a de Polignac number, because none of the positive numbers 2k-4642960491009 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4642965491009) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 19273069 + ... + 19512485.

Almost surely, 24642960491009 is an apocalyptic number.

4642960491009 is the 2154753-rd square number.

4642960491009 is the 1077377-th centered octagonal number.

It is an amenable number.

4642960491009 is a deficient number, since it is larger than the sum of its proper divisors (2292848965138).

4642960491009 is an frugal number, since it uses more digits than its factorization.

4642960491009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478846 (or 239420 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 4642960491009 in words is "four trillion, six hundred forty-two billion, nine hundred sixty million, four hundred ninety-one thousand, nine".

Divisors: 1 3 9 27 81 239417 718251 2154753 6464259 19392777 57320499889 171961499667 515884499001 1547653497003 4642960491009