| Base | Representation |
|---|---|
| bin | 111100100101100… |
| … | …000000001100000 |
| 3 | 2121211122200201200 |
| 4 | 330211200001200 |
| 5 | 4040203312311 |
| 6 | 244510201200 |
| 7 | 34121540211 |
| oct | 7445400140 |
| 9 | 2554580650 |
| 10 | 1016463456 |
| 11 | 481849048 |
| 12 | 2444b3200 |
| 13 | 132782988 |
| 14 | 98dd5408 |
| 15 | 5e384556 |
| hex | 3c960060 |
1016463456 has 144 divisors (see below), whose sum is σ = 3166581600. Its totient is φ = 307851264.
The previous prime is 1016463451. The next prime is 1016463457. The reversal of 1016463456 is 6543646101.
It is a happy number.
1016463456 is a `hidden beast` number, since 1 + 0 + 1 + 646 + 3 + 4 + 5 + 6 = 666.
It is a tau number, because it is divible by the number of its divisors (144).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a self number, because there is not a number n which added to its sum of digits gives 1016463456.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1016463451) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 138405 + ... + 145563.
It is an arithmetic number, because the mean of its divisors is an integer number (21990150).
Almost surely, 21016463456 is an apocalyptic number.
1016463456 is a gapful number since it is divisible by the number (16) 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 1016463456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1583290800).
1016463456 is an abundant number, since it is smaller than the sum of its proper divisors (2150118144).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1016463456 is a wasteful number, since it uses less digits than its factorization.
1016463456 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 7221 (or 7210 counting only the distinct ones).
The product of its (nonzero) digits is 51840, while the sum is 36.
The square root of 1016463456 is about 31882.0240260872. The cubic root of 1016463456 is about 1005.4579749790.
The spelling of 1016463456 in words is "one billion, sixteen million, four hundred sixty-three thousand, four hundred fifty-six".
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