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9946323712 = 281331229421
BaseRepresentation
bin10010100001101100…
…01101101100000000
3221200011202121002201
421100312031230000
5130332224324322
64322544122544
7501323233213
oct112066155400
927604677081
109946323712
114244493246
121b17006454
13c26845960
146a4d8d77a
153d3308d27
hex250d8db00

9946323712 has 144 divisors (see below), whose sum is σ = 22219751680. Its totient is φ = 4412620800.

The previous prime is 9946323703. The next prime is 9946323721. The reversal of 9946323712 is 2173236499.

It is an interprime number because it is at equal distance from previous prime (9946323703) and next prime (9946323721).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23625262 + ... + 23625682.

Almost surely, 29946323712 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 9946323712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11109875840).

9946323712 is an abundant number, since it is smaller than the sum of its proper divisors (12273427968).

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

9946323712 is a wasteful number, since it uses less digits than its factorization.

9946323712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 710 (or 696 counting only the distinct ones).

The product of its digits is 489888, while the sum is 46.

The square root of 9946323712 is about 99731.2574472016. The cubic root of 9946323712 is about 2150.5730372320.

The spelling of 9946323712 in words is "nine billion, nine hundred forty-six million, three hundred twenty-three thousand, seven hundred twelve".

Divisors: 1 2 4 8 13 16 26 31 32 52 62 64 104 124 128 208 229 248 256 403 416 421 458 496 806 832 842 916 992 1612 1664 1684 1832 1984 2977 3224 3328 3368 3664 3968 5473 5954 6448 6736 7099 7328 7936 10946 11908 12896 13051 13472 14198 14656 21892 23816 25792 26102 26944 28396 29312 43784 47632 51584 52204 53888 56792 58624 87568 92287 95264 96409 103168 104408 107776 113584 169663 175136 184574 190528 192818 208816 227168 339326 350272 369148 381056 385636 417632 454336 678652 700544 738296 762112 771272 835264 908672 1253317 1357304 1401088 1476592 1542544 1670528 1817344 2506634 2714608 2953184 2988679 3085088 3341056 5013268 5429216 5906368 5977358 6170176 10026536 10858432 11812736 11954716 12340352 20053072 21716864 23625472 23909432 24680704 38852827 40106144 43433728 47818864 77705654 80212288 95637728 155411308 160424576 191275456 310822616 320849152 382550912 621645232 765101824 1243290464 2486580928 4973161856 9946323712