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9999926411140 = 22523294861154211
BaseRepresentation
bin1001000110000100101000…
…0011111011111110000100
31022101222120001202112220001
42101201022003323332010
52302314322130124030
633133522555451044
72051320333012441
oct221411203737604
938358501675801
109999926411140
113205a43841686
121156077156a84
13576cb1b31313
14267ddb4549c8
151251c3758cca
hex9184a0fbf84

9999926411140 has 96 divisors (see below), whose sum is σ = 22673309218560. Its totient is φ = 3693341836800.

The previous prime is 9999926411131. The next prime is 9999926411141. The reversal of 9999926411140 is 411146299999.

9999926411140 is a nontrivial binomial coefficient, being equal to C(4472120, 2).

It is not an unprimeable number, because it can be changed into a prime (9999926411141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64768635 + ... + 64922845.

It is an arithmetic number, because the mean of its divisors is an integer number (236180304360).

Almost surely, 29999926411140 is an apocalyptic number.

9999926411140 is the 4472119-th triangular number and also the 2236060-th hexagonal number.

9999926411140 is the 1490707-th centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9999926411140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11336654609280).

9999926411140 is an abundant number, since it is smaller than the sum of its proper divisors (12673382807420).

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

9999926411140 is a wasteful number, since it uses less digits than its factorization.

9999926411140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159133 (or 159131 counting only the distinct ones).

The product of its (nonzero) digits is 11337408, while the sum is 64.

The spelling of 9999926411140 in words is "nine trillion, nine hundred ninety-nine billion, nine hundred twenty-six million, four hundred eleven thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 23 29 46 58 92 115 116 145 230 290 460 580 667 1334 2668 3335 4861 6670 9722 13340 19444 24305 48610 97220 111803 140969 154211 223606 281938 308422 447212 559015 563876 616844 704845 771055 1118030 1409690 1542110 2236060 2819380 3084220 3242287 3546853 4472119 6484574 7093706 8944238 12969148 14187412 16211435 17734265 17888476 22360595 32422870 35468530 44721190 64845740 70937060 89442380 102858737 205717474 411434948 514293685 749619671 1028587370 1499239342 2057174740 2998478684 3748098355 7496196710 14992393420 17241252433 21738970459 34482504866 43477940918 68965009732 86206262165 86955881836 108694852295 172412524330 217389704590 344825048660 434779409180 499996320557 999992641114 1999985282228 2499981602785 4999963205570 9999926411140