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4500321012 = 22331118120929
BaseRepresentation
bin1000011000011110…
…10111001011110100
3102121122010222212000
410030033113023310
533204040233022
62022321255300
7216344045265
oct41417271364
912548128760
104500321012
1119aa34a870
12a57194530
13569489955
1430999096c
151b51536ac
hex10c3d72f4

4500321012 has 96 divisors (see below), whose sum is σ = 12799113600. Its totient is φ = 1356134400.

The previous prime is 4500320977. The next prime is 4500321043. The reversal of 4500321012 is 2101230054.

4500321012 is a `hidden beast` number, since 450 + 0 + 3 + 210 + 1 + 2 = 666.

It is a super-2 number, since 2×45003210122 = 40505778422097408288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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, 204564 + ... + 225492.

It is an arithmetic number, because the mean of its divisors is an integer number (133324100).

Almost surely, 24500321012 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 4500321012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6399556800).

4500321012 is an abundant number, since it is smaller than the sum of its proper divisors (8298792588).

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

4500321012 is a wasteful number, since it uses less digits than its factorization.

4500321012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21134 (or 21126 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 4500321012 is about 67084.4319645028. The cubic root of 4500321012 is about 1651.0028812276.

Adding to 4500321012 its reverse (2101230054), we get a palindrome (6601551066).

The spelling of 4500321012 in words is "four billion, five hundred million, three hundred twenty-one thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 181 198 297 362 396 543 594 724 1086 1188 1629 1991 2172 3258 3982 4887 5973 6516 7964 9774 11946 17919 19548 20929 23892 35838 41858 53757 62787 71676 83716 107514 125574 188361 215028 230219 251148 376722 460438 565083 690657 753444 920876 1130166 1381314 2071971 2260332 2762628 3788149 4143942 6215913 7576298 8287884 11364447 12431826 15152596 22728894 24863652 34093341 41669639 45457788 68186682 83339278 102280023 125008917 136373364 166678556 204560046 250017834 375026751 409120092 500035668 750053502 1125080253 1500107004 2250160506 4500321012