| Base | Representation |
|---|---|
| bin | 11110110001011110001… |
| … | …00110111101100000000 |
| 3 | 10202002012122212201210000 |
| 4 | 33120233010313230000 |
| 5 | 114310424022320030 |
| 6 | 2125423553440000 |
| 7 | 136251106450200 |
| oct | 17305704675400 |
| 9 | 3662178781700 |
| 10 | 1057351760640 |
| 11 | 37846955a58a |
| 12 | 150b08b70000 |
| 13 | 78928192b96 |
| 14 | 392672dc400 |
| 15 | 1c78675a860 |
| hex | f62f137b00 |
1057351760640 has 1080 divisors, whose sum is σ = 4592955074400. Its totient is φ = 231147012096.
The previous prime is 1057351760639. The next prime is 1057351760657. The reversal of 1057351760640 is 460671537501.
1057351760640 is a `hidden beast` number, since 1 + 0 + 5 + 7 + 35 + 1 + 7 + 606 + 4 + 0 = 666.
1057351760640 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 2×10573517606402 (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 an unprimeable number.
It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 116842836 + ... + 116851884.
It is an arithmetic number, because the mean of its divisors is an integer number (4252736180).
Almost surely, 21057351760640 is an apocalyptic number.
1057351760640 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 1057351760640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2296477537200).
1057351760640 is an abundant number, since it is smaller than the sum of its proper divisors (3535603313760).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1057351760640 is an equidigital number, since it uses as much as digits as its factorization.
1057351760640 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 9119 (or 9089 counting only the distinct ones).
The product of its (nonzero) digits is 529200, while the sum is 45.
The spelling of 1057351760640 in words is "one trillion, fifty-seven billion, three hundred fifty-one million, seven hundred sixty thousand, six hundred forty".
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