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9032009112 = 233379761583
BaseRepresentation
bin10000110100101100…
…11000010110011000
3212022110022121021000
420122112120112120
5121444143242422
64052123145000
7436551545040
oct103226302630
925273277230
109032009112
113915374145
121900975160
13b0c2a98b9
14619788720
1537ce00cac
hex21a598598

9032009112 has 128 divisors (see below), whose sum is σ = 28969113600. Its totient is φ = 2553928704.

The previous prime is 9032009111. The next prime is 9032009117. The reversal of 9032009112 is 2119002309.

It is a super-3 number, since 3×90320091123 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9032009111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 115873 + ... + 177455.

It is an arithmetic number, because the mean of its divisors is an integer number (226321200).

Almost surely, 29032009112 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 9032009112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14484556800).

9032009112 is an abundant number, since it is smaller than the sum of its proper divisors (19937104488).

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

9032009112 is a wasteful number, since it uses less digits than its factorization.

9032009112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61702 (or 61692 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 9032009112 is about 95036.8829034286. The cubic root of 9032009112 is about 2082.5468918525.

The spelling of 9032009112 in words is "nine billion, thirty-two million, nine thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 97 108 126 168 189 194 216 252 291 378 388 504 582 679 756 776 873 1164 1358 1512 1746 2037 2328 2619 2716 3492 4074 5238 5432 6111 6984 8148 10476 12222 16296 18333 20952 24444 36666 48888 61583 73332 123166 146664 184749 246332 369498 431081 492664 554247 738996 862162 1108494 1293243 1477992 1662741 1724324 2216988 2586486 3325482 3448648 3879729 4433976 5172972 5973551 6650964 7759458 10345944 11639187 11947102 13301928 15518916 17920653 23278374 23894204 31037832 35841306 41814857 46556748 47788408 53761959 71682612 83629714 93113496 107523918 125444571 143365224 161285877 167259428 215047836 250889142 322571754 334518856 376333713 430095672 501778284 645143508 752667426 1003556568 1129001139 1290287016 1505334852 2258002278 3010669704 4516004556 9032009112