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9222664429456 = 2419231212892
BaseRepresentation
bin1000011000110101000110…
…1000110001111110010000
31012122200022100012211011221
42012031101220301332100
52202101004043220311
631340500014014424
71641213136123132
oct206152150617620
935580270184157
109222664429456
112a363456aa665
12104b4b77a7414
1351b90289786a
1423c544ca3052
1510ed81777671
hex86351a31f90

9222664429456 has 135 divisors (see below), whose sum is σ = 19501984495953. Its totient is φ = 4224427119360.

The previous prime is 9222664429409. The next prime is 9222664429477. The reversal of 9222664429456 is 6549244662229.

The square root of 9222664429456 is 3036884.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 7481953619856 + 1740710809600 = 2735316^2 + 1319360^2 .

It is a junction number, because it is equal to n+sod(n) for n = 9222664429394 and 9222664429403.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 7154898060 + ... + 7154899348.

Almost surely, 29222664429456 is an apocalyptic number.

9222664429456 is the 3036884-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9222664429456

9222664429456 is an abundant number, since it is smaller than the sum of its proper divisors (10279320066497).

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

9222664429456 is an equidigital number, since it uses as much as digits as its factorization.

9222664429456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2686 (or 1341 counting only the distinct ones).

The product of its digits is 89579520, while the sum is 61.

The spelling of 9222664429456 in words is "nine trillion, two hundred twenty-two billion, six hundred sixty-four million, four hundred twenty-nine thousand, four hundred fifty-six".

Divisors: 1 2 4 8 16 19 31 38 62 76 124 152 248 304 361 496 589 722 961 1178 1289 1444 1922 2356 2578 2888 3844 4712 5156 5776 7688 9424 10312 11191 15376 18259 20624 22382 24491 36518 39959 44764 48982 73036 79918 89528 97964 146072 159836 179056 195928 292144 319672 346921 391856 465329 639344 693842 759221 930658 1238729 1387684 1518442 1661521 1861316 2477458 2775368 3036884 3323042 3722632 4954916 5550736 6073768 6646084 7445264 9909832 12147536 13292168 14425199 19819664 23535851 26584336 28850398 31568899 47071702 51507151 57700796 63137798 94143404 103014302 115401592 126275596 188286808 206028604 230803184 252551192 376573616 412057208 447181169 505102384 599809081 824114416 894362338 978635869 1199618162 1596721681 1788724676 1957271738 2399236324 3193443362 3577449352 3914543476 4798472648 6386886724 7154898704 7829086952 9596945296 12773773448 15658173904 18594081511 25547546896 30337711939 37188163022 60675423878 74376326044 121350847756 148752652088 242701695512 297505304176 485403391024 576416526841 1152833053682 2305666107364 4611332214728 9222664429456