| Base | Representation |
|---|---|
| bin | 10011111110001111… |
| … | …01010100100100000 |
| 3 | 1000200021120002010000 |
| 4 | 21333013222210200 |
| 5 | 133424444303100 |
| 6 | 4531555340000 |
| 7 | 526501011300 |
| oct | 117707524440 |
| 9 | 30607502100 |
| 10 | 10722650400 |
| 11 | 4602724a50 |
| 12 | 20b2bb1600 |
| 13 | 101b62a467 |
| 14 | 73a115600 |
| 15 | 42b556900 |
| hex | 27f1ea920 |
10722650400 has 1080 divisors, whose sum is σ = 49784532336. Its totient is φ = 2220825600.
The previous prime is 10722650299. The next prime is 10722650401. The reversal of 10722650400 is 405622701.
10722650400 is a `hidden beast` number, since 1 + 0 + 7 + 2 + 2 + 650 + 4 + 0 + 0 = 666.
10722650400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (1080).
It is a super-2 number, since 2×107226504002 (a number of 21 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is not an unprimeable number, because it can be changed into a prime (10722650401) by changing a digit.
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 179 ways as a sum of consecutive naturals, for example, 34927047 + ... + 34927353.
Almost surely, 210722650400 is an apocalyptic number.
10722650400 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 10722650400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24892266168).
10722650400 is an abundant number, since it is smaller than the sum of its proper divisors (39061881936).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10722650400 is a wasteful number, since it uses less digits than its factorization.
10722650400 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 364 (or 335 counting only the distinct ones).
The product of its (nonzero) digits is 3360, while the sum is 27.
The spelling of 10722650400 in words is "ten billion, seven hundred twenty-two million, six hundred fifty thousand, four hundred".
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