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1834686989820 = 22325372291202963
BaseRepresentation
bin11010101100101011110…
…111011100010111111100
320111101122111020211011100
4122230223313130113330
5220024414332133240
63522502113253100
7246360153050166
oct32545367342774
96441574224140
101834686989820
116480a4a80523
122576a8b64190
13104019664359
1464b294b9936
1532aceda9e30
hex1ab2bddc5fc

1834686989820 has 144 divisors (see below), whose sum is σ = 5740592326560. Its totient is φ = 473947780608.

The previous prime is 1834686989809. The next prime is 1834686989827. The reversal of 1834686989820 is 289896864381.

1834686989820 is a `hidden beast` number, since 1 + 8 + 3 + 468 + 6 + 9 + 89 + 82 + 0 = 666.

It is a super-2 number, since 2×18346869898202 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1834686989827) 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, 923659 + ... + 2126621.

It is an arithmetic number, because the mean of its divisors is an integer number (39865224490).

Almost surely, 21834686989820 is an apocalyptic number.

1834686989820 is a gapful number since it is divisible by the number (10) 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 1834686989820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2870296163280).

1834686989820 is an abundant number, since it is smaller than the sum of its proper divisors (3905905336740).

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

1834686989820 is a wasteful number, since it uses less digits than its factorization.

1834686989820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1203244 (or 1203239 counting only the distinct ones).

The product of its (nonzero) digits is 286654464, while the sum is 72.

The spelling of 1834686989820 in words is "one trillion, eight hundred thirty-four billion, six hundred eighty-six million, nine hundred eighty-nine thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 229 333 370 444 458 555 666 687 740 916 1110 1145 1332 1374 1665 2061 2220 2290 2748 3330 3435 4122 4580 6660 6870 8244 8473 10305 13740 16946 20610 25419 33892 41220 42365 50838 76257 84730 101676 127095 152514 169460 254190 305028 381285 508380 762570 1202963 1525140 2405926 3608889 4811852 6014815 7217778 10826667 12029630 14435556 18044445 21653334 24059260 36088890 43306668 44509631 54133335 72177780 89019262 108266670 133528893 178038524 216533340 222548155 267057786 275478527 400586679 445096310 534115572 550957054 667644465 801173358 826435581 890192620 1101914108 1335288930 1377392635 1602346716 1652871162 2002933395 2479306743 2670577860 2754785270 3305742324 4005866790 4132177905 4958613486 5509570540 8011733580 8264355810 9917226972 10192705499 12396533715 16528711620 20385410998 24793067430 30578116497 40770821996 49586134860 50963527495 61156232994 91734349491 101927054990 122312465988 152890582485 183468698982 203854109980 305781164970 366937397964 458671747455 611562329940 917343494910 1834686989820