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9861031891984 = 247213286272
BaseRepresentation
bin1000111101111111001101…
…0011011001010000010000
31021220201001021012220202211
42033133303103121100100
52243030343131020414
632550032344121504
72035302364044400
oct217376323312020
937821037186684
109861031891984
113162049476679
121133173766294
13566b782bb900
142613c2990800
15121794b023c4
hex8f7f34d9410

9861031891984 has 135 divisors (see below), whose sum is σ = 24068974097277. Its totient is φ = 3900615368832.

The previous prime is 9861031891981. The next prime is 9861031892009. The reversal of 9861031891984 is 4891981301689.

The square root of 9861031891984 is 3140228.

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

9861031891984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 1458732528400 + 8402299363584 = 1207780^2 + 2898672^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9861031891981) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1143038679 + ... + 1143047305.

Almost surely, 29861031891984 is an apocalyptic number.

9861031891984 is the 3140228-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9861031891984

9861031891984 is an abundant number, since it is smaller than the sum of its proper divisors (14207942205293).

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

9861031891984 is an frugal number, since it uses more digits than its factorization.

9861031891984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17302 (or 8649 counting only the distinct ones).

The product of its (nonzero) digits is 26873856, while the sum is 67.

The spelling of 9861031891984 in words is "nine trillion, eight hundred sixty-one billion, thirty-one million, eight hundred ninety-one thousand, nine hundred eighty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 49 52 56 91 98 104 112 169 182 196 208 338 364 392 637 676 728 784 1183 1274 1352 1456 2366 2548 2704 4732 5096 8281 8627 9464 10192 16562 17254 18928 33124 34508 60389 66248 69016 112151 120778 132496 138032 224302 241556 422723 448604 483112 785057 845446 897208 966224 1457963 1570114 1690892 1794416 2915926 3140228 3381784 5495399 5831852 6280456 6763568 10205741 10990798 11663704 12560912 20411482 21981596 23327408 40822964 43963192 71440187 74425129 81645928 87926384 142880374 148850258 163291856 285760748 297700516 520975903 571521496 595401032 967526677 1041951806 1143042992 1190802064 1935053354 2083903612 3646831321 3870106708 4167807224 6772686739 7293662642 7740213416 8335614448 12577846801 13545373478 14587325284 15480426832 25155693602 27090746956 29174650568 47408807173 50311387204 54181493912 58349301136 88044927607 94817614346 100622774408 108362987824 176089855214 189635228692 201245548816 352179710428 379270457384 616314493249 704359420856 758540914768 1232628986498 1408718841712 2465257972996 4930515945992 9861031891984