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9429533412 = 22313174497919
BaseRepresentation
bin10001100100000101…
…10100001011100100
3220100011022221002020
420302002310023210
5123302430032122
64155403343140
7452446466025
oct106202641344
926304287066
109429533412
113aa97a9022
1219b1b21ab0
13b73762390
146564a6c4c
153a2c75c5c
hex2320b42e4

9429533412 has 96 divisors (see below), whose sum is σ = 25147584000. Its totient is φ = 2724298752.

The previous prime is 9429533273. The next prime is 9429533419. The reversal of 9429533412 is 2143359249.

It is a super-2 number, since 2×94295334122 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (9429533419) 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 31 ways as a sum of consecutive naturals, for example, 1186789 + ... + 1194707.

It is an arithmetic number, because the mean of its divisors is an integer number (261954000).

Almost surely, 29429533412 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 9429533412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12573792000).

9429533412 is an abundant number, since it is smaller than the sum of its proper divisors (15718050588).

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

9429533412 is a wasteful number, since it uses less digits than its factorization.

9429533412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8405 (or 8403 counting only the distinct ones).

The product of its digits is 233280, while the sum is 42.

The square root of 9429533412 is about 97105.7846474658. The cubic root of 9429533412 is about 2112.6622290221.

The spelling of 9429533412 in words is "nine billion, four hundred twenty-nine million, five hundred thirty-three thousand, four hundred twelve".

Divisors: 1 2 3 4 6 12 13 17 26 34 39 51 52 68 78 102 156 204 221 442 449 663 884 898 1326 1347 1796 2652 2694 5388 5837 7633 7919 11674 15266 15838 17511 22899 23348 23757 30532 31676 35022 45798 47514 70044 91596 95028 99229 102947 134623 198458 205894 269246 297687 308841 396916 403869 411788 538492 595374 617682 807738 1190748 1235364 1615476 1750099 3500198 3555631 5250297 7000396 7111262 10500594 10666893 14222524 21001188 21333786 42667572 46223203 60445727 92446406 120891454 138669609 181337181 184892812 241782908 277339218 362674362 554678436 725348724 785794451 1571588902 2357383353 3143177804 4714766706 9429533412