| Base | Representation |
|---|---|
| bin | 10110101110010001010101… |
| … | …001110110011000000000000 |
| 3 | 111002211212011110201222100000 |
| 4 | 112232101111032303000000 |
| 5 | 101044330410110014400 |
| 6 | 552314144405200000 |
| 7 | 30023122210324353 |
| oct | 2656212516630000 |
| 9 | 432755143658300 |
| 10 | 99936728985600 |
| 11 | 2992aa24192631 |
| 12 | b2604a8400000 |
| 13 | 439bcbab14aa0 |
| 14 | 1a96d6bb6a29a |
| 15 | b848b4ce2600 |
| hex | 5ae4553b3000 |
99936728985600 has 2808 divisors, whose sum is σ = 425059955341840. Its totient is φ = 23131104215040.
The previous prime is 99936728985539. The next prime is 99936728985683. The reversal of 99936728985600 is 658982763999.
99936728985600 is a `hidden beast` number, since 9 + 99 + 367 + 28 + 98 + 5 + 60 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (2808).
It is a super-3 number, since 3×999367289856003 (a number of 43 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (81).
It is a self number, because there is not a number n which added to its sum of digits gives 99936728985600.
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 215 ways as a sum of consecutive naturals, for example, 93486181866 + ... + 93486182934.
Almost surely, 299936728985600 is an apocalyptic number.
99936728985600 is a gapful number since it is divisible by the number (90) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 99936728985600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212529977670920).
99936728985600 is an abundant number, since it is smaller than the sum of its proper divisors (325123226356240).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
99936728985600 is a wasteful number, since it uses less digits than its factorization.
99936728985600 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1165 (or 1109 counting only the distinct ones).
The product of its (nonzero) digits is 3174474240, while the sum is 81.
The spelling of 99936728985600 in words is "ninety-nine trillion, nine hundred thirty-six billion, seven hundred twenty-eight million, nine hundred eighty-five thousand, six hundred".
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