Base | Representation |
---|---|
bin | 1100100011110011000… |
… | …0011000110000010000 |
3 | 202121221012221221000000 |
4 | 3020330300120300100 |
5 | 12013343011311224 |
6 | 243042230130000 |
7 | 21405632015364 |
oct | 3107460306020 |
9 | 677835857000 |
10 | 215767682064 |
11 | 83563260100 |
12 | 359981b0900 |
13 | 17467c1406c |
14 | a62c25b2a4 |
15 | 592c87a0c9 |
hex | 323cc18c10 |
215767682064 has 945 divisors, whose sum is σ = 765062655469. Its totient is φ = 58862453760.
The previous prime is 215767682033. The next prime is 215767682077. The reversal of 215767682064 is 460286767512.
It is a happy number.
The square root of 215767682064 is 464508.
It is a perfect power (a square), and thus also a powerful number.
215767682064 is a `hidden beast` number, since 2 + 1 + 576 + 7 + 6 + 8 + 2 + 0 + 64 = 666.
215767682064 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in only one way, i.e., 167985219600 + 47782462464 = 409860^2 + 218592^2 .
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a Duffinian number.
It is a self number, because there is not a number n which added to its sum of digits gives 215767682064.
It is an unprimeable number.
It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 9381203557 + ... + 9381203579.
Almost surely, 2215767682064 is an apocalyptic number.
215767682064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.
215767682064 is the 464508-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 215767682064
215767682064 is an abundant number, since it is smaller than the sum of its proper divisors (549294973405).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
215767682064 is a wasteful number, since it uses less digits than its factorization.
215767682064 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 128 (or 56 counting only the distinct ones).
The product of its (nonzero) digits is 6773760, while the sum is 54.
The spelling of 215767682064 in words is "two hundred fifteen billion, seven hundred sixty-seven million, six hundred eighty-two thousand, sixty-four".
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