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90857195226 = 2327371207269
BaseRepresentation
bin101010010011110000…
…0101100011011011010
322200111222211201220200
41110213200230123122
52442033420221401
6105423401003030
76364345263000
oct1244740543332
9280458751820
1090857195226
11355945775a6
1215737a83476
13874c5ac5a5
14457cab4a70
15256b750686
hex152782c6da

90857195226 has 96 divisors (see below), whose sum is σ = 232805664000. Its totient is φ = 25593452640.

The previous prime is 90857195201. The next prime is 90857195281. The reversal of 90857195226 is 62259175809.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 334720 + ... + 541988.

It is an arithmetic number, because the mean of its divisors is an integer number (2425059000).

Almost surely, 290857195226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90857195226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116402832000).

90857195226 is an abundant number, since it is smaller than the sum of its proper divisors (141948468774).

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

90857195226 is a wasteful number, since it uses less digits than its factorization.

90857195226 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207369 (or 207352 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 54.

The spelling of 90857195226 in words is "ninety billion, eight hundred fifty-seven million, one hundred ninety-five thousand, two hundred twenty-six".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 71 98 126 142 147 213 294 343 426 441 497 639 686 882 994 1029 1278 1491 2058 2982 3087 3479 4473 6174 6958 8946 10437 20874 24353 31311 48706 62622 73059 146118 207269 219177 414538 438354 621807 1243614 1450883 1865421 2901766 3730842 4352649 8705298 10156181 13057947 14716099 20312362 26115894 29432198 30468543 44148297 60937086 71093267 88296594 91405629 103012693 132444891 142186534 182811258 206025386 213279801 264889782 309038079 426559602 618076158 639839403 721088851 927114237 1279678806 1442177702 1854228474 2163266553 4326533106 5047621957 6489799659 10095243914 12979599318 15142865871 30285731742 45428597613 90857195226