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9912506345856 = 273243200107121
BaseRepresentation
bin1001000000111110111101…
…1010110110100110000000
31022002121220121111002212100
42100033233122312212000
52244401303111031411
633025424220230400
72042104101506442
oct220175732664600
938077817432770
109912506345856
113181963460744
12114113a39b400
1356b98c677c3a
14263aa7054492
15122ca8b47456
hex903ef6b6980

9912506345856 has 96 divisors (see below), whose sum is σ = 29187624814920. Its totient is φ = 3227327631360.

The previous prime is 9912506345849. The next prime is 9912506345857. The reversal of 9912506345856 is 6585436052199.

9912506345856 is a `hidden beast` number, since 9 + 9 + 1 + 2 + 506 + 3 + 45 + 85 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 9912506345793 and 9912506345802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9912506345857) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 100004025 + ... + 100103096.

Almost surely, 29912506345856 is an apocalyptic number.

9912506345856 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

9912506345856 is an abundant number, since it is smaller than the sum of its proper divisors (19275118469064).

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

9912506345856 is a wasteful number, since it uses less digits than its factorization.

9912506345856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200107184 (or 200107169 counting only the distinct ones).

The product of its (nonzero) digits is 69984000, while the sum is 63.

The spelling of 9912506345856 in words is "nine trillion, nine hundred twelve billion, five hundred six million, three hundred forty-five thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 43 48 64 72 86 96 128 129 144 172 192 258 288 344 384 387 516 576 688 774 1032 1152 1376 1548 2064 2752 3096 4128 5504 6192 8256 12384 16512 24768 49536 200107121 400214242 600321363 800428484 1200642726 1600856968 1800964089 2401285452 3201713936 3601928178 4802570904 6403427872 7203856356 8604606203 9605141808 12806855744 14407712712 17209212406 19210283616 25613711488 25813818609 28815425424 34418424812 38420567232 51627637218 57630850848 68836849624 76841134464 77441455827 103255274436 115261701696 137673699248 154882911654 206510548872 230523403392 275347398496 309765823308 413021097744 550694796992 619531646616 826042195488 1101389593984 1239063293232 1652084390976 2478126586464 3304168781952 4956253172928 9912506345856