| Base | Representation |
|---|---|
| bin | 110001011100000100… |
| … | …0000000000000000000 |
| 3 | 101011001001102110120000 |
| 4 | 1202320020000000000 |
| 5 | 3214413042220000 |
| 6 | 120434551320000 |
| 7 | 10445643554511 |
| oct | 1427010000000 |
| 9 | 334031373500 |
| 10 | 106168320000 |
| 11 | 41031281226 |
| 12 | 186ab680000 |
| 13 | a01c71cc32 |
| 14 | 51d2366a08 |
| 15 | 2b65a20000 |
| hex | 18b8200000 |
106168320000 has 550 divisors, whose sum is σ = 396365827803. Its totient is φ = 28311552000.
The previous prime is 106168319987. The next prime is 106168320047. The reversal of 106168320000 is 23861601.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
It is a Jordan-Polya number, since it can be written as (5!)4 ⋅ (2!)9.
106168320000 is a `hidden beast` number, since 10 + 616 + 8 + 32 + 0 + 0 + 0 + 0 = 666.
It can be written as a sum of positive squares in 3 ways, for example, as 24546115584 + 81622204416 = 156672^2 + 285696^2 .
It is an ABA number since it can be written as A⋅BA, here for A=2, B=230400.
It is a super-2 number, since 2×1061683200002 (a number of 23 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 24 ways as a sum of consecutive naturals, for example, 21233663998 + ... + 21233664002.
Almost surely, 2106168320000 is an apocalyptic number.
106168320000 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 106168320000
106168320000 is an abundant number, since it is smaller than the sum of its proper divisors (290197507803).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
106168320000 is an frugal number, since it uses more digits than its factorization.
106168320000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 74 (or 10 counting only the distinct ones).
The product of its (nonzero) digits is 1728, while the sum is 27.
The spelling of 106168320000 in words is "one hundred six billion, one hundred sixty-eight million, three hundred twenty thousand".
• e-mail: info -at- numbersaplenty.com • Privacy notice • done in 0.072 sec. • engine limits •