| Base | Representation |
|---|---|
| bin | 111001010010011… |
| … | …010100110100000 |
| 3 | 2110222112101221100 |
| 4 | 321102122212200 |
| 5 | 3432022110424 |
| 6 | 235212154400 |
| 7 | 32550313653 |
| oct | 7122324640 |
| 9 | 2428471840 |
| 10 | 961128864 |
| 11 | 453594383 |
| 12 | 229a68a00 |
| 13 | 12417a407 |
| 14 | 9190d89a |
| 15 | 595a3dc9 |
| hex | 3949a9a0 |
961128864 has 144 divisors (see below), whose sum is σ = 2922159240. Its totient is φ = 298598400.
The previous prime is 961128841. The next prime is 961128887. The reversal of 961128864 is 468821169.
961128864 is a `hidden beast` number, since 9 + 611 + 28 + 8 + 6 + 4 = 666.
It is an interprime number because it is at equal distance from previous prime (961128841) and next prime (961128887).
It can be written as a sum of positive squares in 4 ways, for example, as 846810000 + 114318864 = 29100^2 + 10692^2 .
It is a tau number, because it is divible by the number of its divisors (144).
It is a nude number because it is divisible by every one of its digits.
It is an unprimeable number.
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 23 ways as a sum of consecutive naturals, for example, 532764 + ... + 534564.
Almost surely, 2961128864 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 961128864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1461079620).
961128864 is an abundant number, since it is smaller than the sum of its proper divisors (1961030376).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
961128864 is a wasteful number, since it uses less digits than its factorization.
961128864 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1943 (or 1932 counting only the distinct ones).
The product of its digits is 165888, while the sum is 45.
The square root of 961128864 is about 31002.0783819408. The cubic root of 961128864 is about 986.8713474401.
It can be divided in two parts, 96112 and 8864, that added together give a 4-th power (104976 = 184).
The spelling of 961128864 in words is "nine hundred sixty-one million, one hundred twenty-eight thousand, eight hundred sixty-four".
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