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18911166341022 = 23379107267115511
BaseRepresentation
bin1000100110011000110010…
…10110100001111110011110
32110221220000200211122011000
410103030121112201332132
54434320032040403042
6104115400410011130
73661200221436264
oct423143126417636
973856020748130
1018911166341022
1160311a942835a
12215513b416aa6
13a72413a33b57
1449543bba4434
1522bdc988074c
hex1133195a1f9e

18911166341022 has 128 divisors (see below), whose sum is σ = 42973352755200. Its totient is φ = 6163054840800.

The previous prime is 18911166341021. The next prime is 18911166341059. The reversal of 18911166341022 is 22014366111981.

18911166341022 is a `hidden beast` number, since 1 + 8 + 9 + 1 + 1 + 1 + 6 + 634 + 1 + 0 + 2 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18911166341021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1219202247 + ... + 1219217757.

It is an arithmetic number, because the mean of its divisors is an integer number (335729318400).

Almost surely, 218911166341022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18911166341022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21486676377600).

18911166341022 is an abundant number, since it is smaller than the sum of its proper divisors (24062186414178).

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

18911166341022 is a wasteful number, since it uses less digits than its factorization.

18911166341022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18379 (or 18373 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 18911166341022 in words is "eighteen trillion, nine hundred eleven billion, one hundred sixty-six million, three hundred forty-one thousand, twenty-two".

Divisors: 1 2 3 6 9 18 27 54 79 107 158 214 237 321 474 642 711 963 1422 1926 2133 2671 2889 4266 5342 5778 8013 8453 15511 16026 16906 24039 25359 31022 46533 48078 50718 72117 76077 93066 139599 144234 152154 211009 228231 279198 285797 418797 422018 456462 571594 633027 837594 857391 1225369 1266054 1659677 1714782 1899081 2450738 2572173 3319354 3676107 3798162 4979031 5144346 5697243 7352214 7716519 9958062 11028321 11394486 14937093 15433038 22056642 22577963 29874186 33084963 41429881 44811279 45155926 66169926 67733889 82859762 89622558 124289643 131114483 135467778 203201667 248579286 262228966 372868929 393343449 406403334 609605001 745737858 786686898 1118606787 1180030347 1219210002 2237213574 2360060694 3272960599 3540091041 4432997267 6545921198 7080182082 8865994534 9818881797 13298991801 19637763594 26597983602 29456645391 39896975403 58913290782 79793950806 88369936173 119690926209 176739872346 239381852418 350206784093 700413568186 1050620352279 2101240704558 3151861056837 6303722113674 9455583170511 18911166341022