Search a number
-
+
9065628964 = 2272173187767
BaseRepresentation
bin10000111000101101…
…01000010100100100
3212101210120200000201
420130112220110210
5122031300111324
64055323520244
7440440401100
oct103426502444
925353520021
109065628964
113932347247
121910089084
13b1624b3c2
1462001a900
15380d42444
hex21c5a8524

9065628964 has 72 divisors (see below), whose sum is σ = 20171192832. Its totient is φ = 3538725120.

The previous prime is 9065628961. The next prime is 9065629019. The reversal of 9065628964 is 4698265609.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (9065628961) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 59409 + ... + 147175.

It is an arithmetic number, because the mean of its divisors is an integer number (280155456).

Almost surely, 29065628964 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 9065628964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10085596416).

9065628964 is an abundant number, since it is smaller than the sum of its proper divisors (11105563868).

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

9065628964 is a wasteful number, since it uses less digits than its factorization.

9065628964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87833 (or 87824 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 55.

The square root of 9065628964 is about 95213.5965290672. The cubic root of 9065628964 is about 2085.1276474900.

The spelling of 9065628964 in words is "nine billion, sixty-five million, six hundred twenty-eight thousand, nine hundred sixty-four".

Divisors: 1 2 4 7 14 17 28 31 34 49 62 68 98 119 124 196 217 238 434 476 527 833 868 1054 1519 1666 2108 3038 3332 3689 6076 7378 14756 25823 51646 87767 103292 175534 351068 614369 1228738 1492039 2457476 2720777 2984078 4300583 5441554 5968156 8601166 10444273 10883108 17202332 19045439 20888546 38090878 41777092 46253209 73109911 76181756 92506418 133318073 146219822 185012836 266636146 292439644 323772463 533272292 647544926 1295089852 2266407241 4532814482 9065628964