| Base | Representation |
|---|---|
| bin | 111010101010100… |
| … | …1101101010100000 |
| 3 | 12002012001220212000 |
| 4 | 1311111031222200 |
| 5 | 13012413322024 |
| 6 | 523155404000 |
| 7 | 66531635151 |
| oct | 16525155240 |
| 9 | 5065056760 |
| 10 | 1968495264 |
| 11 | 92018969a |
| 12 | 46b2b3600 |
| 13 | 254a964c8 |
| 14 | 149617928 |
| 15 | b7c3ccc9 |
| hex | 7554daa0 |
1968495264 has 144 divisors (see below), whose sum is σ = 5824728000. Its totient is φ = 646766208.
The previous prime is 1968495253. The next prime is 1968495271. The reversal of 1968495264 is 4625948691.
1968495264 is a `hidden beast` number, since 1 + 96 + 8 + 495 + 2 + 64 = 666.
It is a tau number, because it is divible by the number of its divisors (144).
It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.
It is a Harshad number since it is a multiple of its sum of digits (54).
Its product of digits (3732480) is a multiple of the sum of its prime factors (432).
It is a self number, because there is not a number n which added to its sum of digits gives 1968495264.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9891837 + ... + 9892035.
It is an arithmetic number, because the mean of its divisors is an integer number (40449500).
Almost surely, 21968495264 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 1968495264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2912364000).
1968495264 is an abundant number, since it is smaller than the sum of its proper divisors (3856232736).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1968495264 is a wasteful number, since it uses less digits than its factorization.
1968495264 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 432 (or 311 counting only the distinct ones).
The product of its digits is 3732480, while the sum is 54.
The square root of 1968495264 is about 44367.7277308631. The cubic root of 1968495264 is about 1253.2704256439.
The spelling of 1968495264 in words is "one billion, nine hundred sixty-eight million, four hundred ninety-five thousand, two hundred sixty-four".
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