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90099017226 = 2344341930869
BaseRepresentation
bin101001111101001010…
…0011110011000001010
322121120011012022020000
41103322110132120022
52434010322022401
6105220234343430
76336511003341
oct1237224363012
9277504168200
1090099017226
1135235601209
1215565b8ab76
13865b4b065a
14450a114b58
152524dda186
hex14fa51e60a

90099017226 has 80 divisors (see below), whose sum is σ = 207083368800. Its totient is φ = 29263604832.

The previous prime is 90099017219. The next prime is 90099017237. The reversal of 90099017226 is 62271099009.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2903320 + ... + 2934188.

It is an arithmetic number, because the mean of its divisors is an integer number (2588542110).

Almost surely, 290099017226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90099017226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103541684400).

90099017226 is an abundant number, since it is smaller than the sum of its proper divisors (116984351574).

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

90099017226 is a wasteful number, since it uses less digits than its factorization.

90099017226 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31345 (or 31336 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The spelling of 90099017226 in words is "ninety billion, ninety-nine million, seventeen thousand, two hundred twenty-six".

Divisors: 1 2 3 6 9 18 27 43 54 81 86 129 162 258 387 419 774 838 1161 1257 2322 2514 3483 3771 6966 7542 11313 18017 22626 30869 33939 36034 54051 61738 67878 92607 108102 162153 185214 277821 324306 486459 555642 833463 972918 1327367 1459377 1666926 2500389 2654734 2918754 3982101 5000778 7964202 11946303 12934111 23892606 25868222 35838909 38802333 71677818 77604666 107516727 116406999 215033454 232813998 349220997 556166773 698441994 1047662991 1112333546 1668500319 2095325982 3337000638 5005500957 10011001914 15016502871 30033005742 45049508613 90099017226