| Base | Representation |
|---|---|
| bin | 10001011011101011100001… |
| … | …011011000010101000000000 |
| 3 | 101001110110221211012122000000 |
| 4 | 101123223201123002220000 |
| 5 | 40022121001214231330 |
| 6 | 431021121212000000 |
| 7 | 22102102003010400 |
| oct | 2133534133025000 |
| 9 | 331413854178000 |
| 10 | 76668948195840 |
| 11 | 2247a133557100 |
| 12 | 8722b57760000 |
| 13 | 33a1b0a263b00 |
| 14 | 14d0b2295a800 |
| 15 | 8ce5068e6560 |
| hex | 45bae16c2a00 |
76668948195840 has 7560 divisors, whose sum is σ = 390907427878044. Its totient is φ = 14347055923200.
The previous prime is 76668948195821. The next prime is 76668948195901. The reversal of 76668948195840 is 4859184986667.
It can be written as a sum of positive squares in 6 ways, for example, as 133885737216 + 76535062458624 = 365904^2 + 8748432^2 .
It is a tau number, because it is divible by the number of its divisors (7560).
It is a Harshad number since it is a multiple of its sum of digits (81).
It is a self number, because there is not a number n which added to its sum of digits gives 76668948195840.
It is a congruent number.
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 755 ways as a sum of consecutive naturals, for example, 1869974346220 + ... + 1869974346260.
Almost surely, 276668948195840 is an apocalyptic number.
76668948195840 is a gapful number since it is divisible by the number (70) 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 76668948195840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195453713939022).
76668948195840 is an abundant number, since it is smaller than the sum of its proper divisors (314238479682204).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
76668948195840 is a wasteful number, since it uses less digits than its factorization.
76668948195840 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 144 (or 82 counting only the distinct ones).
The product of its (nonzero) digits is 5016453120, while the sum is 81.
The spelling of 76668948195840 in words is "seventy-six trillion, six hundred sixty-eight billion, nine hundred forty-eight million, one hundred ninety-five thousand, eight hundred forty".
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