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989022212122112 = 29713991783110629
BaseRepresentation
bin1110000011100000101010110…
…1101000001110011000000000
311210200211121012110112022211222
43200320022231220032120000
52014113114442300401422
613423250310514454212
7415215332255650520
oct34070125550163000
94720747173468758
10989022212122112
11267150a67a94843
1292b13169894368
13335b25186c534c
1413632d0533b680
157951b0dbc1842
hex38382ada0e600

989022212122112 has 160 divisors (see below), whose sum is σ = 2261316849792000. Its totient is φ = 423322300735488.

The previous prime is 989022212122093. The next prime is 989022212122199. The reversal of 989022212122112 is 211221212220989.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8939935214 + ... + 8940045842.

It is an arithmetic number, because the mean of its divisors is an integer number (14133230311200).

Almost surely, 2989022212122112 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 989022212122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1130658424896000).

989022212122112 is an abundant number, since it is smaller than the sum of its proper divisors (1272294637669888).

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

989022212122112 is a wasteful number, since it uses less digits than its factorization.

989022212122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113836 (or 113820 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 44.

The spelling of 989022212122112 in words is "nine hundred eighty-nine trillion, twenty-two billion, two hundred twelve million, one hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 512 896 1399 1783 1792 2798 3566 3584 5596 7132 9793 11192 12481 14264 19586 22384 24962 28528 39172 44768 49924 57056 78344 89536 99848 110629 114112 156688 179072 199696 221258 228224 313376 358144 399392 442516 456448 626752 716288 774403 798784 885032 912896 1253504 1548806 1597568 1770064 2494417 2507008 3097612 3195136 3540128 4988834 5014016 6195224 6390272 7080256 9977668 12390448 14160512 17460919 19955336 24780896 28321024 34921838 39910672 49561792 56642048 69843676 79821344 99123584 139687352 154769971 159642688 197251507 198247168 279374704 309539942 319285376 394503014 396494336 558749408 619079884 638570752 789006028 1083389797 1117498816 1238159768 1277141504 1380760549 1578012056 2166779594 2234997632 2476319536 2761521098 3156024112 4333559188 4469995264 4952639072 5523042196 6312048224 8667118376 8939990528 9905278144 11046084392 12624096448 17334236752 19810556288 22092168784 25248192896 34668473504 39621112576 44184337568 50496385792 69336947008 79242225152 88368675136 100992771584 138673894016 176737350272 275954858293 277347788032 353474700544 551909716586 554695576064 706949401088 1103819433172 1931684008051 2207638866344 3863368016102 4415277732688 7726736032204 8830555465376 15453472064408 17661110930752 30906944128816 35322221861504 61813888257632 70644443723008 123627776515264 141288887446016 247255553030528 494511106061056 989022212122112