Search a number
-
+
10482572436 = 22371728325939
BaseRepresentation
bin10011100001100111…
…10101110010010100
31000001112210212001120
421300303311302110
5132432014304221
64452101523540
7520524252450
oct116063656224
930045725046
1010482572436
11449a158906
1220467135b0
13cb097ccab
1471629d660
154154325c6
hex270cf5c94

10482572436 has 96 divisors (see below), whose sum is σ = 29703582720. Its totient is φ = 2808774144.

The previous prime is 10482572431. The next prime is 10482572449. The reversal of 10482572436 is 63427528401.

10482572436 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10482572431) 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 31 ways as a sum of consecutive naturals, for example, 391155 + ... + 417093.

It is an arithmetic number, because the mean of its divisors is an integer number (309412320).

Almost surely, 210482572436 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 10482572436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14851791360).

10482572436 is an abundant number, since it is smaller than the sum of its proper divisors (19221010284).

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

10482572436 is a wasteful number, since it uses less digits than its factorization.

10482572436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26253 (or 26251 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 42.

The spelling of 10482572436 in words is "ten billion, four hundred eighty-two million, five hundred seventy-two thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 51 68 84 102 119 204 238 283 357 476 566 714 849 1132 1428 1698 1981 3396 3962 4811 5943 7924 9622 11886 14433 19244 23772 25939 28866 33677 51878 57732 67354 77817 101031 103756 134708 155634 181573 202062 311268 363146 404124 440963 544719 726292 881926 1089438 1322889 1763852 2178876 2645778 3086741 5291556 6173482 7340737 9260223 12346964 14681474 18520446 22022211 29362948 37040892 44044422 51385159 88088844 102770318 124792529 154155477 205540636 249585058 308310954 374377587 499170116 616621908 748755174 873547703 1497510348 1747095406 2620643109 3494190812 5241286218 10482572436