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213991781316846 = 2313971303169712791
BaseRepresentation
bin110000101001111111011000…
…000111000011100011101110
31001001200102012011122122112120
4300221333120013003203232
5211022020132004114341
62035042244525413410
763034252554224661
oct6051773007034356
91031612164578476
10213991781316846
116220344a887705
122000105a70a266
1392534525a37b0
143abb3867416d8
1519b163d697066
hexc29fd81c38ee

213991781316846 has 128 divisors (see below), whose sum is σ = 466325415069696. Its totient is φ = 65071355166720.

The previous prime is 213991781316829. The next prime is 213991781316853. The reversal of 213991781316846 is 648613187199312.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16729864711 + ... + 16729877501.

It is an arithmetic number, because the mean of its divisors is an integer number (3643167305232).

Almost surely, 2213991781316846 is an apocalyptic number.

213991781316846 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 213991781316846, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233162707534848).

213991781316846 is an abundant number, since it is smaller than the sum of its proper divisors (252333633752850).

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

213991781316846 is a wasteful number, since it uses less digits than its factorization.

213991781316846 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15906.

The product of its digits is 94058496, while the sum is 69.

The spelling of 213991781316846 in words is "two hundred thirteen trillion, nine hundred ninety-one billion, seven hundred eighty-one million, three hundred sixteen thousand, eight hundred forty-six".

Divisors: 1 2 3 6 13 26 39 78 97 194 291 582 1261 1303 1697 2522 2606 3394 3783 3909 5091 7566 7818 10182 12791 16939 22061 25582 33878 38373 44122 50817 66183 76746 101634 126391 132366 164609 166283 252782 329218 332566 379173 493827 498849 758346 987654 997698 1240727 1643083 2139917 2211191 2481454 3286166 3722181 4279834 4422382 4929249 6419751 6633573 7444362 9858498 12839502 13267146 16129451 16666673 21706327 28745483 32258902 33333346 43412654 48388353 50000019 57490966 65118981 86236449 96776706 100000038 130237962 172472898 214485527 216666749 282182251 428971054 433333498 564364502 643456581 650000247 846546753 1286913162 1300000494 1616667281 1693093506 2105513719 2788311851 3233334562 4211027438 4850001843 5576623702 6316541157 8364935553 9700003686 12633082314 16729871106 21016674653 27371678347 28283344081 42033349306 54743356694 56566688162 63050023959 82115035041 84850032243 126100047918 164230070082 169700064486 367683473053 735366946106 1103050419159 2206100838318 2743484375857 5486968751714 8230453127571 16460906255142 35665296886141 71330593772282 106995890658423 213991781316846