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83449632252 = 223719181288877
BaseRepresentation
bin100110110110111111…
…1000101010111111100
321222101202012112211110
41031231333011113330
52331401101213002
6102200343122020
76012650112330
oct1155577052774
9258352175743
1083449632252
1132433161928
121420b143310
137b3ba1782c
144078d857c0
15228627be6c
hex136dfc55fc

83449632252 has 96 divisors (see below), whose sum is σ = 235539566080. Its totient is φ = 22462997760.

The previous prime is 83449632229. The next prime is 83449632307. The reversal of 83449632252 is 25223694438.

It is a super-2 number, since 2×834496322522 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 144438 + ... + 433314.

Almost surely, 283449632252 is an apocalyptic number.

It is a pronic number, being equal to 288876×288877.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83449632252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117769783040).

83449632252 is an abundant number, since it is smaller than the sum of its proper divisors (152089933828).

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

83449632252 is a wasteful number, since it uses less digits than its factorization.

83449632252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289091 (or 289089 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 48.

The spelling of 83449632252 in words is "eighty-three billion, four hundred forty-nine million, six hundred thirty-two thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 57 76 84 114 133 181 228 266 362 399 532 543 724 798 1086 1267 1596 2172 2534 3439 3801 5068 6878 7602 10317 13756 15204 20634 24073 41268 48146 72219 96292 144438 288876 288877 577754 866631 1155508 1733262 2022139 3466524 4044278 5488663 6066417 8088556 10977326 12132834 16465989 21954652 24265668 32931978 38420641 52286737 65863956 76841282 104573474 115261923 153682564 156860211 209146948 230523846 313720422 366007159 461047692 627440844 732014318 993448003 1098021477 1464028636 1986896006 2196042954 2980344009 3973792012 4392085908 5960688018 6954136021 11921376036 13908272042 20862408063 27816544084 41724816126 83449632252