Search a number
-
+
4130565696 = 26327739277
BaseRepresentation
bin1111011000110011…
…0110111001000000
3101122212101110220200
43312030312321000
531424411100241
61521512205200
7204234141405
oct36614667100
911585343820
104130565696
11182a662164
12973399800
1350a9a781a
142b28202ac
151929664b6
hexf6336e40

4130565696 has 84 divisors (see below), whose sum is σ = 11856114972. Its totient is φ = 1374925824.

The previous prime is 4130565679. The next prime is 4130565713. The reversal of 4130565696 is 6965650314.

4130565696 is a `hidden beast` number, since 4 + 1 + 30 + 56 + 569 + 6 = 666.

4130565696 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4130565679) and next prime (4130565713).

It can be written as a sum of positive squares in 2 ways, for example, as 1686252096 + 2444313600 = 41064^2 + 49440^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 440610 + ... + 449886.

Almost surely, 24130565696 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4130565696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5928057486).

4130565696 is an abundant number, since it is smaller than the sum of its proper divisors (7725549276).

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

4130565696 is a wasteful number, since it uses less digits than its factorization.

4130565696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10068 (or 10055 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The square root of 4130565696 is about 64269.4771722938. The cubic root of 4130565696 is about 1604.4881402681.

The spelling of 4130565696 in words is "four billion, one hundred thirty million, five hundred sixty-five thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 773 1546 2319 3092 4638 6184 6957 9276 9277 12368 13914 18552 18554 24736 27828 27831 37104 37108 49472 55656 55662 74208 74216 83493 111312 111324 148416 148432 166986 222624 222648 296864 333972 445248 445296 593728 667944 890592 1335888 1781184 2671776 5343552 7171121 14342242 21513363 28684484 43026726 57368968 64540089 86053452 114737936 129080178 172106904 229475872 258160356 344213808 458951744 516320712 688427616 1032641424 1376855232 2065282848 4130565696