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204395021292 = 223711222788589
BaseRepresentation
bin1011111001011011100…
…1001000001111101100
3201112120122021220021210
42332112321020033230
511322100111140132
6233521530354420
720524046005110
oct2762671101754
9645518256253
10204395021292
117975772a800
123374358ba10
1316374a2aca7
149c6daa1740
1554b4227bcc
hex2f96e483ec

204395021292 has 144 divisors (see below), whose sum is σ = 601754307840. Its totient is φ = 52855144320.

The previous prime is 204395021269. The next prime is 204395021381. The reversal of 204395021292 is 292120593402.

It is a self number, because there is not a number n which added to its sum of digits gives 204395021292.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2262934 + ... + 2351522.

It is an arithmetic number, because the mean of its divisors is an integer number (4178849360).

Almost surely, 2204395021292 is an apocalyptic number.

204395021292 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204395021292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300877153920).

204395021292 is an abundant number, since it is smaller than the sum of its proper divisors (397359286548).

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

204395021292 is a wasteful number, since it uses less digits than its factorization.

204395021292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88852 (or 88839 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The spelling of 204395021292 in words is "two hundred four billion, three hundred ninety-five million, twenty-one thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 121 132 154 227 231 242 308 363 454 462 484 681 726 847 908 924 1362 1452 1589 1694 2497 2541 2724 3178 3388 4767 4994 5082 6356 7491 9534 9988 10164 14982 17479 19068 27467 29964 34958 52437 54934 69916 82401 88589 104874 109868 164802 177178 192269 209748 265767 329604 354356 384538 531534 576807 620123 769076 974479 1063068 1153614 1240246 1860369 1948958 2307228 2480492 2923437 3720738 3897916 5846874 6821353 7441476 10719269 11693748 13642706 20109703 20464059 21438538 27285412 32157807 40219406 40928118 42877076 60329109 64315614 75034883 80438812 81856236 120658218 128631228 140767921 150069766 221206733 225104649 241316436 281535842 300139532 422303763 442413466 450209298 563071684 663620199 844607526 884826932 900418596 1327240398 1548447131 1689215052 2433274063 2654480796 3096894262 4645341393 4866548126 6193788524 7299822189 9290682786 9733096252 14599644378 17032918441 18581365572 29199288756 34065836882 51098755323 68131673764 102197510646 204395021292