| Base | Representation |
|---|---|
| bin | 1001101101111001110100… |
| … | …1101010001001000000000 |
| 3 | 1101211101211202001211121000 |
| 4 | 2123132131031101020000 |
| 5 | 2400022241104303310 |
| 6 | 34420132523132000 |
| 7 | 2151623650321500 |
| oct | 233363515211000 |
| 9 | 41741752054530 |
| 10 | 10684221166080 |
| 11 | 344a175347200 |
| 12 | 1246810074000 |
| 13 | 5c66965c7637 |
| 14 | 28d1949d3a00 |
| 15 | 137dc3b404c0 |
| hex | 9b79d351200 |
10684221166080 has 4320 divisors, whose sum is σ = 51877794608640. Its totient is φ = 2074396262400.
The previous prime is 10684221166043. The next prime is 10684221166123. The reversal of 10684221166080 is 8066112248601.
It is a happy number.
10684221166080 is a `hidden beast` number, since 1 + 0 + 6 + 8 + 4 + 2 + 21 + 16 + 608 + 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 2×106842211660802 (a number of 27 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (45).
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 431 ways as a sum of consecutive naturals, for example, 344652295665 + ... + 344652295695.
It is an arithmetic number, because the mean of its divisors is an integer number (12008748752).
Almost surely, 210684221166080 is an apocalyptic number.
10684221166080 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 10684221166080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25938897304320).
10684221166080 is an abundant number, since it is smaller than the sum of its proper divisors (41193573442560).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10684221166080 is a wasteful number, since it uses less digits than its factorization.
10684221166080 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 157 (or 88 counting only the distinct ones).
The product of its (nonzero) digits is 221184, while the sum is 45.
The spelling of 10684221166080 in words is "ten trillion, six hundred eighty-four billion, two hundred twenty-one million, one hundred sixty-six thousand, eighty".
• e-mail: info -at- numbersaplenty.com • Privacy notice • done in 0.066 sec. • engine limits •