Search a number
-
+
2164849506 = 232120269417
BaseRepresentation
bin1000000100001000…
…1111101101100010
312120212112202020100
42001002033231202
513413200141011
6554452123230
7104434626411
oct20102175542
95525482210
102164849506
11a11001526
12505006516
13286675251
1416772b478
15ca0c6d56
hex8108fb62

2164849506 has 12 divisors (see below), whose sum is σ = 4690507302. Its totient is φ = 721616496.

The previous prime is 2164849481. The next prime is 2164849537. The reversal of 2164849506 is 6059484612.

2164849506 is a `hidden beast` number, since 2 + 1 + 64 + 84 + 9 + 506 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2048015025 + 116834481 = 45255^2 + 10809^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 60134691 + ... + 60134726.

Almost surely, 22164849506 is an apocalyptic number.

2164849506 is an abundant number, since it is smaller than the sum of its proper divisors (2525657796).

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

2164849506 is a wasteful number, since it uses less digits than its factorization.

2164849506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120269425 (or 120269422 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 2164849506 is about 46527.9432814304. The cubic root of 2164849506 is about 1293.6274931539.

The spelling of 2164849506 in words is "two billion, one hundred sixty-four million, eight hundred forty-nine thousand, five hundred six".

Divisors: 1 2 3 6 9 18 120269417 240538834 360808251 721616502 1082424753 2164849506