| Base | Representation |
|---|---|
| bin | 10001011101110100101010… |
| … | …000100101001000100000000 |
| 3 | 101001222120000202211111201000 |
| 4 | 101131310222010221010000 |
| 5 | 40032024032130330200 |
| 6 | 431212512342212000 |
| 7 | 22115533642161660 |
| oct | 2135645204510400 |
| 9 | 331876022744630 |
| 10 | 76816195948800 |
| 11 | 22526625023320 |
| 12 | 87475b0724000 |
| 13 | 33b2975565709 |
| 14 | 14d7cd09981a0 |
| 15 | 8d3273a70300 |
| hex | 45dd2a129100 |
76816195948800 has 6912 divisors, whose sum is σ = 382332009185280. Its totient is φ = 14631321600000.
The previous prime is 76816195948721. The next prime is 76816195948801. The reversal of 76816195948800 is 884959161867.
76816195948800 is a `hidden beast` number, since 7 + 6 + 8 + 16 + 19 + 594 + 8 + 8 + 0 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (6912).
It is a Harshad number since it is a multiple of its sum of digits (72).
It is not an unprimeable number, because it can be changed into a prime (76816195948801) 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 767 ways as a sum of consecutive naturals, for example, 1081918252765 + ... + 1081918252835.
It is an arithmetic number, because the mean of its divisors is an integer number (55314237440).
Almost surely, 276816195948800 is an apocalyptic number.
76816195948800 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 76816195948800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191166004592640).
76816195948800 is an abundant number, since it is smaller than the sum of its proper divisors (305515813236480).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
76816195948800 is a wasteful number, since it uses less digits than its factorization.
76816195948800 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 259 (or 234 counting only the distinct ones).
The product of its (nonzero) digits is 209018880, while the sum is 72.
The spelling of 76816195948800 in words is "seventy-six trillion, eight hundred sixteen billion, one hundred ninety-five million, nine hundred forty-eight thousand, eight hundred".
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