Search a number
-
+
9380908746 = 23211463102329
BaseRepresentation
bin10001011110010010…
…10100111011001010
3220012202211112120200
420233021110323022
5123203003034441
64150505233030
7451316260116
oct105711247312
926182745520
109380908746
113a84307650
121999792776
13b66668ca1
1464dc4a746
1539d86d7b6
hex22f254eca

9380908746 has 48 divisors (see below), whose sum is σ = 22221164160. Its totient is φ = 2836532160.

The previous prime is 9380908711. The next prime is 9380908753. The reversal of 9380908746 is 6478090839.

9380908746 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 9380908692 and 9380908701.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 40510 + ... + 142838.

It is an arithmetic number, because the mean of its divisors is an integer number (462940920).

Almost surely, 29380908746 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9380908746, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11110582080).

9380908746 is an abundant number, since it is smaller than the sum of its proper divisors (12840255414).

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

9380908746 is a wasteful number, since it uses less digits than its factorization.

9380908746 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102811 (or 102808 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The square root of 9380908746 is about 96855.0914820692. The cubic root of 9380908746 is about 2109.0245594988.

The spelling of 9380908746 in words is "nine billion, three hundred eighty million, nine hundred eight thousand, seven hundred forty-six".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 463 926 1389 2778 4167 5093 8334 10186 15279 30558 45837 91674 102329 204658 306987 613974 920961 1125619 1841922 2251238 3376857 6753714 10130571 20261142 47378327 94756654 142134981 284269962 426404943 521161597 852809886 1042323194 1563484791 3126969582 4690454373 9380908746