| Base | Representation |
|---|---|
| bin | 11110110010001010101… |
| … | …00101100101100000000 |
| 3 | 10202010011200012200210000 |
| 4 | 33121011110230230000 |
| 5 | 114312210100234030 |
| 6 | 2125525005440000 |
| 7 | 136263261141606 |
| oct | 17310524545400 |
| 9 | 3663150180700 |
| 10 | 1057725008640 |
| 11 | 378640213303 |
| 12 | 150bb1b70000 |
| 13 | 789875c89a1 |
| 14 | 392a0adb876 |
| 15 | 1c7a93d7860 |
| hex | f64552cb00 |
1057725008640 has 1440 divisors, whose sum is σ = 4085001043200. Its totient is φ = 260855562240.
The previous prime is 1057725008597. The next prime is 1057725008647. The reversal of 1057725008640 is 468005277501.
1057725008640 is a `hidden beast` number, since 10 + 5 + 7 + 72 + 500 + 8 + 64 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (1440).
It is a super-2 number, since 2×10577250086402 (a number of 25 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (45).
It is not an unprimeable number, because it can be changed into a prime (1057725008647) 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 159 ways as a sum of consecutive naturals, for example, 13388924121 + ... + 13388924199.
It is an arithmetic number, because the mean of its divisors is an integer number (2836806280).
Almost surely, 21057725008640 is an apocalyptic number.
1057725008640 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 1057725008640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2042500521600).
1057725008640 is an abundant number, since it is smaller than the sum of its proper divisors (3027276034560).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1057725008640 is an equidigital number, since it uses as much as digits as its factorization.
1057725008640 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 275 (or 252 counting only the distinct ones).
The product of its (nonzero) digits is 470400, while the sum is 45.
The spelling of 1057725008640 in words is "one trillion, fifty-seven billion, seven hundred twenty-five million, eight thousand, six hundred forty".
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