| Base | Representation |
|---|---|
| bin | 111110011110000011… |
| … | …000000111110100000 |
| 3 | 20102010122111221010000 |
| 4 | 332132003000332200 |
| 5 | 2044332440200000 |
| 6 | 50451521340000 |
| 7 | 4563131304600 |
| oct | 763603007640 |
| 9 | 212118457100 |
| 10 | 67076100000 |
| 11 | 264a0789798 |
| 12 | 10bbb797600 |
| 13 | 642c759300 |
| 14 | 336457cc00 |
| 15 | 1b28aa0000 |
| hex | f9e0c0fa0 |
67076100000 has 1620 divisors, whose sum is σ = 310587593778. Its totient is φ = 14152320000.
The previous prime is 67076099977. The next prime is 67076100001. The reversal of 67076100000 is 167076.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
It can be written as a sum of positive squares in 9 ways, for example, as 55279533456 + 11796566544 = 235116^2 + 108612^2 .
It is a tau number, because it is divible by the number of its divisors (1620).
It is a Harshad number since it is a multiple of its sum of digits (27).
It is not an unprimeable number, because it can be changed into a prime (67076100001) by changing a digit.
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 269 ways as a sum of consecutive naturals, for example, 5159699994 + ... + 5159700006.
Almost surely, 267076100000 is an apocalyptic number.
67076100000 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 67076100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155293796889).
67076100000 is an abundant number, since it is smaller than the sum of its proper divisors (243511493778).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
67076100000 is an equidigital number, since it uses as much as digits as its factorization.
67076100000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 87 (or 30 counting only the distinct ones).
The product of its (nonzero) digits is 1764, while the sum is 27.
Adding to 67076100000 its reverse (167076), we get a palindrome (67076267076).
The spelling of 67076100000 in words is "sixty-seven billion, seventy-six million, one hundred thousand".
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