| Base | Representation |
|---|---|
| bin | 1001000100001001011111… |
| … | …1010010111000001000000 |
| 3 | 1022021211020111112100220000 |
| 4 | 2101002113322113001000 |
| 5 | 2301244123413104320 |
| 6 | 33110415041520000 |
| 7 | 2046040253561400 |
| oct | 221022772270100 |
| 9 | 38254214470800 |
| 10 | 9966872784960 |
| 11 | 31a2a21940053 |
| 12 | 114b791643000 |
| 13 | 573b44c29c30 |
| 14 | 266583644800 |
| 15 | 1243db9e6c90 |
| hex | 91097e97040 |
9966872784960 has 1680 divisors, whose sum is σ = 46753893426240. Its totient is φ = 1992158945280.
The previous prime is 9966872784923. The next prime is 9966872784971. The reversal of 9966872784960 is 694872786699.
It is a tau number, because it is divible by the number of its divisors (1680).
It is a super-2 number, since 2×99668727849602 (a number of 27 digits) contains 22 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 9966872784960.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 313693875 + ... + 313725645.
It is an arithmetic number, because the mean of its divisors is an integer number (27829698468).
Almost surely, 29966872784960 is an apocalyptic number.
9966872784960 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 9966872784960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23376946713120).
9966872784960 is an abundant number, since it is smaller than the sum of its proper divisors (36787020641280).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
9966872784960 is a wasteful number, since it uses less digits than its factorization.
9966872784960 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 31846 (or 31820 counting only the distinct ones).
The product of its (nonzero) digits is 3950456832, while the sum is 81.
The spelling of 9966872784960 in words is "nine trillion, nine hundred sixty-six billion, eight hundred seventy-two million, seven hundred eighty-four thousand, nine hundred sixty".
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