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90991220418 = 2327414512
BaseRepresentation
bin101010010111101111…
…1111101011011000010
322200212100000220220200
41110233133331123002
52442322223023133
6105444545350030
76400563420000
oct1245737753302
9280770026820
1090991220418
113565319871a
1215774938316
1387712a7237
144592801a70
1525783c6913
hex152f7fd6c2

90991220418 has 90 divisors (see below), whose sum is σ = 230150514867. Its totient is φ = 25979574600.

The previous prime is 90991220417. The next prime is 90991220423. The reversal of 90991220418 is 81402219909.

90991220418 is a `hidden beast` number, since 9 + 0 + 9 + 9 + 1 + 220 + 418 = 666.

It can be written as a sum of positive squares in only one way, i.e., 45495610209 + 45495610209 = 213297^2 + 213297^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=213297.

It is not an unprimeable number, because it can be changed into a prime (90991220413) 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 44 ways as a sum of consecutive naturals, for example, 62708593 + ... + 62710043.

Almost surely, 290991220418 is an apocalyptic number.

90991220418 is a gapful number since it is divisible by the number (98) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 90991220418

90991220418 is an abundant number, since it is smaller than the sum of its proper divisors (139159294449).

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

90991220418 is an frugal number, since it uses more digits than its factorization.

90991220418 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2938 (or 1463 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The spelling of 90991220418 in words is "ninety billion, nine hundred ninety-one million, two hundred twenty thousand, four hundred eighteen".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 294 343 441 686 882 1029 1451 2058 2401 2902 3087 4353 4802 6174 7203 8706 10157 13059 14406 20314 21609 26118 30471 43218 60942 71099 91413 142198 182826 213297 426594 497693 639891 995386 1279782 1493079 2105401 2986158 3483851 4210802 4479237 6316203 6967702 8958474 10451553 12632406 14737807 18948609 20903106 29475614 31354659 37897218 44213421 62709318 88426842 103164649 132640263 206329298 265280526 309493947 618987894 722152543 928481841 1444305086 1856963682 2166457629 4332915258 5055067801 6499372887 10110135602 12998745774 15165203403 30330406806 45495610209 90991220418