| Base | Representation |
|---|---|
| bin | 1001001001111000011000… |
| … | …1110110110000010000000 |
| 3 | 1022122020110021101020120000 |
| 4 | 2102132012032312002000 |
| 5 | 2304402324231202200 |
| 6 | 33223543541320000 |
| 7 | 2056125004602540 |
| oct | 222360616660200 |
| 9 | 38566407336500 |
| 10 | 10065360412800 |
| 11 | 3230771605600 |
| 12 | 1166898a06000 |
| 13 | 58020c304bb4 |
| 14 | 26b2478a1320 |
| 15 | 126c53091300 |
| hex | 927863b6080 |
10065360412800 has 4320 divisors, whose sum is σ = 49632233333760. Its totient is φ = 1965822566400.
The previous prime is 10065360412703. The next prime is 10065360412823. The reversal of 10065360412800 is 821406356001.
It is a happy number.
10065360412800 is a `hidden beast` number, since 1 + 0 + 0 + 6 + 536 + 0 + 41 + 2 + 80 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (4320).
It is a super-2 number, since 2×100653604128002 (a number of 27 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
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 539 ways as a sum of consecutive naturals, for example, 79254806337 + ... + 79254806463.
Almost surely, 210065360412800 is an apocalyptic number.
10065360412800 is a gapful number since it is divisible by the number (10) 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 10065360412800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24816116666880).
10065360412800 is an abundant number, since it is smaller than the sum of its proper divisors (39566872920960).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10065360412800 is a wasteful number, since it uses less digits than its factorization.
10065360412800 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 230 (or 174 counting only the distinct ones).
The product of its (nonzero) digits is 34560, while the sum is 36.
Adding to 10065360412800 its reverse (821406356001), we get a palindrome (10886766768801).
The spelling of 10065360412800 in words is "ten trillion, sixty-five billion, three hundred sixty million, four hundred twelve thousand, eight hundred".
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