| Base | Representation |
|---|---|
| bin | 1111101000001110110… |
| … | …1111000011000000000 |
| 3 | 221200001002000020000000 |
| 4 | 3322003231320120000 |
| 5 | 13344340420040130 |
| 6 | 323202440000000 |
| 7 | 25253424525450 |
| oct | 3720355703000 |
| 9 | 850032006000 |
| 10 | 268497815040 |
| 11 | a39620204a4 |
| 12 | 44053460000 |
| 13 | 1c41c48ab90 |
| 14 | cdd13c5d60 |
| 15 | 6eb6c58260 |
| hex | 3e83b78600 |
268497815040 has 2560 divisors, whose sum is σ = 1298796871680. Its totient is φ = 51597803520.
The previous prime is 268497815021. The next prime is 268497815059. The reversal of 268497815040 is 40518794862.
It is a happy number.
268497815040 is a `hidden beast` number, since 2 + 68 + 4 + 9 + 78 + 1 + 504 + 0 = 666.
It is an interprime number because it is at equal distance from previous prime (268497815021) and next prime (268497815059).
It is a tau number, because it is divible by the number of its divisors (2560).
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 8661219825 + ... + 8661219855.
It is an arithmetic number, because the mean of its divisors is an integer number (507342528).
Almost surely, 2268497815040 is an apocalyptic number.
268497815040 is a gapful number since it is divisible by the number (20) 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 268497815040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (649398435840).
268497815040 is an abundant number, since it is smaller than the sum of its proper divisors (1030299056640).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
268497815040 is an equidigital number, since it uses as much as digits as its factorization.
268497815040 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 112 (or 78 counting only the distinct ones).
The product of its (nonzero) digits is 3870720, while the sum is 54.
The spelling of 268497815040 in words is "two hundred sixty-eight billion, four hundred ninety-seven million, eight hundred fifteen thousand, forty".
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