Search a number
-
+
9075643236 = 223211210691949
BaseRepresentation
bin10000111001111001…
…10101001101100100
3212102111102110000200
420130330311031210
5122041331040421
64100322310500
7440621460162
oct103474651544
925374373020
109075643236
113937a67100
1219134b8430
13b183465ca
146214a6232
15381b6e726
hex21cf35364

9075643236 has 108 divisors (see below), whose sum is σ = 25252909500. Its totient is φ = 2746212480.

The previous prime is 9075643229. The next prime is 9075643237. The reversal of 9075643236 is 6323465709.

9075643236 is digitally balanced in base 2, 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 2 ways, for example, as 5861433600 + 3214209636 = 76560^2 + 56694^2 .

It is a junction number, because it is equal to n+sod(n) for n = 9075643191 and 9075643200.

It is not an unprimeable number, because it can be changed into a prime (9075643237) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 4655590 + ... + 4657538.

Almost surely, 29075643236 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 9075643236, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12626454750).

9075643236 is an abundant number, since it is smaller than the sum of its proper divisors (16177266264).

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

9075643236 is a wasteful number, since it uses less digits than its factorization.

9075643236 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3050 (or 3034 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The square root of 9075643236 is about 95266.1704698998. The cubic root of 9075643236 is about 2085.8951379579.

The spelling of 9075643236 in words is "nine billion, seventy-five million, six hundred forty-three thousand, two hundred thirty-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 198 242 363 396 484 726 1069 1089 1452 1949 2138 2178 3207 3898 4276 4356 5847 6414 7796 9621 11694 11759 12828 17541 19242 21439 23388 23518 35082 35277 38484 42878 47036 64317 70164 70554 85756 105831 128634 129349 141108 192951 211662 235829 257268 258698 385902 388047 423324 471658 517396 707487 771804 776094 943316 1164141 1414974 1552188 2083481 2122461 2328282 2829948 4166962 4244922 4656564 6250443 8333924 8489844 12500886 18751329 22918291 25001772 37502658 45836582 68754873 75005316 91673164 137509746 206264619 252101201 275019492 412529238 504202402 756303603 825058476 1008404804 1512607206 2268910809 3025214412 4537821618 9075643236