| Base | Representation |
|---|---|
| bin | 11111000011000010000111… |
| … | …01111011010100000000000 |
| 3 | 22221201220222000220002002000 |
| 4 | 33201201003233122200000 |
| 5 | 32422100010234440000 |
| 6 | 401112340303224000 |
| 7 | 20244425540115120 |
| oct | 1741410357324000 |
| 9 | 287656860802060 |
| 10 | 68273936640000 |
| 11 | 1a8328a53764a3 |
| 12 | 77a7b432a8000 |
| 13 | 2c13287675430 |
| 14 | 12c069484cc80 |
| 15 | 7d5e65eaa000 |
| hex | 3e1843bda800 |
68273936640000 has 3840 divisors, whose sum is σ = 329599324454400. Its totient is φ = 13547077632000.
The previous prime is 68273936639861. The next prime is 68273936640029. The reversal of 68273936640000 is 4663937286.
68273936640000 is a `hidden beast` number, since 6 + 8 + 273 + 9 + 366 + 4 + 0 + 0 + 0 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (3840).
It is a super-2 number, since 2×682739366400002 (a number of 28 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 53464319362 + ... + 53464320638.
It is an arithmetic number, because the mean of its divisors is an integer number (85833157410).
Almost surely, 268273936640000 is an apocalyptic number.
68273936640000 is a gapful number since it is divisible by the number (60) 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 68273936640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164799662227200).
68273936640000 is an abundant number, since it is smaller than the sum of its proper divisors (261325387814400).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
68273936640000 is a wasteful number, since it uses less digits than its factorization.
68273936640000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1365 (or 1324 counting only the distinct ones).
The product of its (nonzero) digits is 7838208, while the sum is 54.
The spelling of 68273936640000 in words is "sixty-eight trillion, two hundred seventy-three billion, nine hundred thirty-six million, six hundred forty thousand".
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