Base | Representation |
---|---|
bin | 100011110000000001… |
… | …0001101001000000000 |
3 | 21100011110011111201000 |
4 | 1013200002031020000 |
5 | 2224212404242324 |
6 | 55134042212000 |
7 | 5355336511500 |
oct | 1074002151000 |
9 | 240143144630 |
10 | 76773118464 |
11 | 2a617473239 |
12 | 12a671b4000 |
13 | 7316743863 |
14 | 3a04393a00 |
15 | 1ee50609c9 |
hex | 11e008d200 |
76773118464 has 960 divisors, whose sum is σ = 287170012800. Its totient is φ = 20115357696.
The previous prime is 76773118459. The next prime is 76773118469. The reversal of 76773118464 is 46481137767.
It is a happy number.
76773118464 is a `hidden beast` number, since 7 + 67 + 7 + 3 + 118 + 464 = 666.
It is an interprime number because it is at equal distance from previous prime (76773118459) and next prime (76773118469).
It is a super-2 number, since 2×767731184642 (a number of 23 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a nude number because it is divisible by every one of its digits.
It is a self number, because there is not a number n which added to its sum of digits gives 76773118464.
It is not an unprimeable number, because it can be changed into a prime (76773118469) by changing a digit.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 679408072 + ... + 679408184.
It is an arithmetic number, because the mean of its divisors is an integer number (299135430).
Almost surely, 276773118464 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 76773118464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143585006400).
76773118464 is an abundant number, since it is smaller than the sum of its proper divisors (210396894336).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
76773118464 is a wasteful number, since it uses less digits than its factorization.
76773118464 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 230 (or 201 counting only the distinct ones).
The product of its digits is 4741632, while the sum is 54.
The spelling of 76773118464 in words is "seventy-six billion, seven hundred seventy-three million, one hundred eighteen thousand, four hundred sixty-four".
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