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206445431148 = 22311328345673
BaseRepresentation
bin1100000001000100011…
…0110100100101101100
3201201212112111111211120
43000101012310211230
511340300012244043
6234501214020540
720625624132315
oct3002106644554
9651775444746
10206445431148
117a60a078000
12340161a7750
1316610775168
149dc611d60c
155584246983
hex30111b496c

206445431148 has 96 divisors (see below), whose sum is σ = 531724284672. Its totient is φ = 62336799360.

The previous prime is 206445431141. The next prime is 206445431221. The reversal of 206445431148 is 841134544602.

It is not an unprimeable number, because it can be changed into a prime (206445431141) 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, 4497240 + ... + 4542912.

It is an arithmetic number, because the mean of its divisors is an integer number (5538794632).

Almost surely, 2206445431148 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 206445431148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265862142336).

206445431148 is an abundant number, since it is smaller than the sum of its proper divisors (325278853524).

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

206445431148 is a wasteful number, since it uses less digits than its factorization.

206445431148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45996 (or 45972 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 42.

The spelling of 206445431148 in words is "two hundred six billion, four hundred forty-five million, four hundred thirty-one thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 121 132 242 283 363 484 566 726 849 1132 1331 1452 1698 2662 3113 3396 3993 5324 6226 7986 9339 12452 15972 18678 34243 37356 45673 68486 91346 102729 136972 137019 182692 205458 274038 376673 410916 502403 548076 753346 1004806 1130019 1506692 1507209 2009612 2260038 3014418 4520076 5526433 6028836 11052866 12925459 16579299 22105732 25850918 33158598 38776377 51701836 60790763 66317196 77552754 121581526 142180049 155105508 182372289 243163052 284360098 364744578 426540147 568720196 729489156 853080294 1563980539 1706160588 3127961078 4691941617 6255922156 9383883234 17203785929 18767766468 34407571858 51611357787 68815143716 103222715574 206445431148