Base | Representation |
---|---|
bin | 100011011111110010… |
… | …1110011110111110000 |
3 | 21021202111221110202000 |
4 | 1012333211303313300 |
5 | 2222104033212310 |
6 | 55004035454000 |
7 | 5336010100212 |
oct | 1067745636760 |
9 | 237674843660 |
10 | 76228804080 |
11 | 2a368199840 |
12 | 12934a57300 |
13 | 725aa44240 |
14 | 3991d845b2 |
15 | 1eb23924c0 |
hex | 11bf973df0 |
76228804080 has 1280 divisors, whose sum is σ = 335978496000. Its totient is φ = 15601766400.
The previous prime is 76228804063. The next prime is 76228804081. The reversal of 76228804080 is 8040882267.
It is a happy number.
It is a Harshad number since it is a multiple of its sum of digits (45).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (76228804081) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 181930111 + ... + 181930529.
It is an arithmetic number, because the mean of its divisors is an integer number (262483200).
Almost surely, 276228804080 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 76228804080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167989248000).
76228804080 is an abundant number, since it is smaller than the sum of its proper divisors (259749691920).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
76228804080 is a wasteful number, since it uses less digits than its factorization.
76228804080 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 515 (or 503 counting only the distinct ones).
The product of its (nonzero) digits is 344064, while the sum is 45.
The spelling of 76228804080 in words is "seventy-six billion, two hundred twenty-eight million, eight hundred four thousand, eighty".
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