| Base | Representation |
|---|---|
| bin | 10011001000010111… |
| … | …01011000100100000 |
| 3 | 222111210011102221000 |
| 4 | 21210023223010200 |
| 5 | 132013300404232 |
| 6 | 4415053032000 |
| 7 | 512342434662 |
| oct | 114413530440 |
| 9 | 28453142830 |
| 10 | 10270716192 |
| 11 | 43a0608100 |
| 12 | 1ba7785600 |
| 13 | c78b04279 |
| 14 | 6d60b2532 |
| 15 | 401a3527c |
| hex | 2642eb120 |
10270716192 has 288 divisors, whose sum is σ = 34870046400. Its totient is φ = 2928752640.
The previous prime is 10270716179. The next prime is 10270716199. The reversal of 10270716192 is 29161707201.
It is a happy number.
10270716192 is a `hidden beast` number, since 10 + 27 + 0 + 7 + 1 + 619 + 2 = 666.
It is a tau number, because it is divible by the number of its divisors (288).
It is a super-2 number, since 2×102707161922 (a number of 21 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is not an unprimeable number, because it can be changed into a prime (10270716199) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1774359 + ... + 1780137.
It is an arithmetic number, because the mean of its divisors is an integer number (121076550).
Almost surely, 210270716192 is an apocalyptic number.
10270716192 is a gapful number since it is divisible by the number (12) 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 10270716192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17435023200).
10270716192 is an abundant number, since it is smaller than the sum of its proper divisors (24599330208).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10270716192 is a wasteful number, since it uses less digits than its factorization.
10270716192 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 5837 (or 5812 counting only the distinct ones).
The product of its (nonzero) digits is 10584, while the sum is 36.
The spelling of 10270716192 in words is "ten billion, two hundred seventy million, seven hundred sixteen thousand, one hundred ninety-two".
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