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206234354844 = 2232731211125117
BaseRepresentation
bin1100000000010010000…
…1101000010010011100
3201201022211022201120200
43000010201220102130
511334331443323334
6234424233543500
720620452043440
oct3000441502234
9651284281520
10206234354844
117a510a0a281
1233b77574b90
13165a8b1043b
149da6096820
155570950799
hex300486849c

206234354844 has 144 divisors (see below), whose sum is σ = 617926772736. Its totient is φ = 56752617600.

The previous prime is 206234354827. The next prime is 206234354867. The reversal of 206234354844 is 448453432602.

206234354844 is a `hidden beast` number, since 2 + 0 + 6 + 23 + 43 + 548 + 44 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 206234354844.

It is a congruent number.

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, 1585774 + ... + 1710890.

It is an arithmetic number, because the mean of its divisors is an integer number (4291158144).

Almost surely, 2206234354844 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 206234354844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308963386368).

206234354844 is an abundant number, since it is smaller than the sum of its proper divisors (411692417892).

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

206234354844 is a wasteful number, since it uses less digits than its factorization.

206234354844 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125376 (or 125371 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 45.

The spelling of 206234354844 in words is "two hundred six billion, two hundred thirty-four million, three hundred fifty-four thousand, eight hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 31 36 42 62 63 84 93 124 126 186 211 217 252 279 372 422 434 558 633 651 844 868 1116 1266 1302 1477 1899 1953 2532 2604 2954 3798 3906 4431 5908 6541 7596 7812 8862 13082 13293 17724 19623 26164 26586 39246 45787 53172 58869 78492 91574 117738 125117 137361 183148 235476 250234 274722 375351 412083 500468 549444 750702 824166 875819 1126053 1501404 1648332 1751638 2252106 2627457 3503276 3878627 4504212 5254914 7757254 7882371 10509828 11635881 15514508 15764742 23271762 26399687 27150389 31529484 34907643 46543524 52799374 54300778 69815286 79199061 81451167 105598748 108601556 139630572 158398122 162902334 184797809 237597183 244353501 316796244 325804668 369595618 475194366 488707002 554393427 739191236 818390297 950388732 977414004 1108786854 1636780594 1663180281 2217573708 2455170891 3273561188 3326360562 4910341782 5728732079 6652721124 7365512673 9820683564 11457464158 14731025346 17186196237 22914928316 29462050692 34372392474 51558588711 68744784948 103117177422 206234354844