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209716240739404 = 227217943980916831
BaseRepresentation
bin101111101011110001011110…
…000010000110110001001100
31000111112200021101202022211111
4233223301132002012301030
5204441442330112130104
62022010151100501404
762113332643032100
oct5753613602066114
91014480241668744
10209716240739404
1160905181673a53
121b6304b484a864
1390032061c1279
1439b046a92b900
15193a30251e404
hexbebc5e086c4c

209716240739404 has 144 divisors (see below), whose sum is σ = 430842779136000. Its totient is φ = 89057166992640.

The previous prime is 209716240739363. The next prime is 209716240739407. The reversal of 209716240739404 is 404937042617902.

It is a happy number.

209716240739404 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (209716240739407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12460109269 + ... + 12460126099.

It is an arithmetic number, because the mean of its divisors is an integer number (2991963744000).

Almost surely, 2209716240739404 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 209716240739404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215421389568000).

209716240739404 is an abundant number, since it is smaller than the sum of its proper divisors (221126538396596).

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

209716240739404 is a wasteful number, since it uses less digits than its factorization.

209716240739404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18276 (or 18267 counting only the distinct ones).

The product of its (nonzero) digits is 18289152, while the sum is 58.

The spelling of 209716240739404 in words is "two hundred nine trillion, seven hundred sixteen billion, two hundred forty million, seven hundred thirty-nine thousand, four hundred four".

Divisors: 1 2 4 7 14 28 49 98 179 196 358 439 716 809 878 1253 1618 1756 2506 3073 3236 5012 5663 6146 8771 11326 12292 16831 17542 21511 22652 33662 35084 39641 43022 67324 78581 79282 86044 117817 144811 157162 158564 235634 289622 314324 355151 471268 550067 579244 710302 824719 1013677 1100134 1420604 1649438 2027354 2200268 2486057 3012749 3298876 3850469 4054708 4972114 6025498 7095739 7388809 7700938 9944228 12050996 13616279 14191478 14777618 15401876 17402399 21089243 27232558 28382956 29555236 34804798 42178486 51721663 54465116 63572029 69609596 84356972 95313953 103443326 127144058 147624701 190627906 206886652 254288116 295249402 362051641 381255812 445004203 590498804 667197671 724103282 890008406 1322596811 1334395342 1448206564 1780016812 2437313941 2645193622 2668790684 3115029421 4874627882 5290387244 5977546481 6230058842 9258177677 9749255764 11955092962 12460117684 17061197587 18516355354 23910185924 34122395174 37032710708 41842825367 64807243739 68244790348 83685650734 119428383109 129614487478 167371301468 238856766218 259228974956 292899777569 477713532436 585799555138 1069980820099 1171599110276 2139961640198 4279923280396 7489865740693 14979731481386 29959462962772 52429060184851 104858120369702 209716240739404