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9992883622332 = 22313475692395279
BaseRepresentation
bin1001000101101010011001…
…0001110101000110111100
31022101022101020111210220010
42101122212101311012330
52302210411201403312
633130400052223220
72050650654211452
oct221324621650674
938338336453803
109992883622332
113202a5a322166
12115483060ab10
1357642b9c6370
1426792dd5a9d2
15124e102db93c
hex916a64751bc

9992883622332 has 96 divisors (see below), whose sum is σ = 25689665433600. Its totient is φ = 3004023532032.

The previous prime is 9992883622313. The next prime is 9992883622349. The reversal of 9992883622332 is 2332263882999.

It is a super-2 number, since 2×99928836223322 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2974269 + ... + 5369547.

It is an arithmetic number, because the mean of its divisors is an integer number (267600681600).

Almost surely, 29992883622332 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 9992883622332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12844832716800).

9992883622332 is an abundant number, since it is smaller than the sum of its proper divisors (15696781811268).

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

9992883622332 is a wasteful number, since it uses less digits than its factorization.

9992883622332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2395915 (or 2395913 counting only the distinct ones).

The product of its digits is 120932352, while the sum is 66.

The spelling of 9992883622332 in words is "nine trillion, nine hundred ninety-two billion, eight hundred eighty-three million, six hundred twenty-two thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 26 39 47 52 78 94 141 156 188 282 564 569 611 1138 1222 1707 1833 2276 2444 3414 3666 6828 7332 7397 14794 22191 26743 29588 44382 53486 80229 88764 106972 160458 320916 347659 695318 1042977 1390636 2085954 2395279 4171908 4790558 7185837 9581116 14371674 28743348 31138627 62277254 93415881 112578113 124554508 186831762 225156226 337734339 373663524 450312452 675468678 1350937356 1362913751 1463515469 2725827502 2927030938 4088741253 4390546407 5451655004 5854061876 8177482506 8781092814 16354965012 17562185628 17717878763 35435757526 53153636289 64056946297 70871515052 106307272578 128113892594 192170838891 212614545156 256227785188 384341677782 768683355564 832740301861 1665480603722 2498220905583 3330961207444 4996441811166 9992883622332