| Base | Representation |
|---|---|
| bin | 100101100101110… |
| … | …0001100110100000 |
| 3 | 10020220101022100200 |
| 4 | 1023023201212200 |
| 5 | 10040343444131 |
| 6 | 325054145200 |
| 7 | 43153656450 |
| oct | 11313414640 |
| 9 | 3226338320 |
| 10 | 1261312416 |
| 11 | 597a83761 |
| 12 | 2b24b2200 |
| 13 | 171410910 |
| 14 | bd72dd60 |
| 15 | 75aec2e6 |
| hex | 4b2e19a0 |
1261312416 has 576 divisors, whose sum is σ = 4953312000. Its totient is φ = 294617088.
The previous prime is 1261312333. The next prime is 1261312417. The reversal of 1261312416 is 6142131621.
It is a happy number.
1261312416 is a `hidden beast` number, since 1 + 2 + 613 + 1 + 2 + 41 + 6 = 666.
It is a nude number because it is divisible by every one of its digits.
It is a self number, because there is not a number n which added to its sum of digits gives 1261312416.
It is not an unprimeable number, because it can be changed into a prime (1261312417) by changing a digit.
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 95 ways as a sum of consecutive naturals, for example, 8465110 + ... + 8465258.
It is an arithmetic number, because the mean of its divisors is an integer number (8599500).
Almost surely, 21261312416 is an apocalyptic number.
1261312416 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 1261312416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2476656000).
1261312416 is an abundant number, since it is smaller than the sum of its proper divisors (3691999584).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1261312416 is a wasteful number, since it uses less digits than its factorization.
1261312416 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 221 (or 210 counting only the distinct ones).
The product of its digits is 1728, while the sum is 27.
The square root of 1261312416 is about 35514.9604533076. The cubic root of 1261312416 is about 1080.4571727029.
The spelling of 1261312416 in words is "one billion, two hundred sixty-one million, three hundred twelve thousand, four hundred sixteen".
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