Base | Representation |
---|---|
bin | 110001010111110110100… |
… | …0010111100111111000000 |
3 | 220000201011012210012000000 |
4 | 1202233231002330333000 |
5 | 1342134133431202111 |
6 | 22233153235000000 |
7 | 1300152503106300 |
oct | 142575502747700 |
9 | 26021135705000 |
10 | 6785730334656 |
11 | 21868a2963399 |
12 | 917153439000 |
13 | 3a2b78b90bc0 |
14 | 196606d23600 |
15 | bb7a462ac56 |
hex | 62bed0bcfc0 |
6785730334656 has 2352 divisors, whose sum is σ = 27196539622560. Its totient is φ = 1659191869440.
The previous prime is 6785730334651. The next prime is 6785730334741. The reversal of 6785730334656 is 6564330375876.
6785730334656 is a `hidden beast` number, since 6 + 7 + 8 + 573 + 0 + 3 + 3 + 4 + 6 + 56 = 666.
It is a tau number, because it is divible by the number of its divisors (2352).
It is a super-2 number, since 2×67857303346562 (a number of 26 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (63).
It is a junction number, because it is equal to n+sod(n) for n = 6785730334593 and 6785730334602.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (6785730334651) 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 335 ways as a sum of consecutive naturals, for example, 34445331550 + ... + 34445331746.
Almost surely, 26785730334656 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 6785730334656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13598269811280).
6785730334656 is an abundant number, since it is smaller than the sum of its proper divisors (20410809287904).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
6785730334656 is a wasteful number, since it uses less digits than its factorization.
6785730334656 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 334 (or 302 counting only the distinct ones).
The product of its (nonzero) digits is 228614400, while the sum is 63.
The spelling of 6785730334656 in words is "six trillion, seven hundred eighty-five billion, seven hundred thirty million, three hundred thirty-four thousand, six hundred fifty-six".
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