Search a number
-
+
6706627056 = 24327129239
BaseRepresentation
bin1100011111011111…
…10000000111110000
3122022101200221202200
412033233300013300
5102213344031211
63025254143200
7325124250363
oct61757600760
918271627680
106706627056
112931797198
121372051b00
1382b5b869c
144789d00da
15293bb8b56
hex18fbf01f0

6706627056 has 90 divisors (see below), whose sum is σ = 19039380360. Its totient is φ = 2203817280.

The previous prime is 6706627051. The next prime is 6706627061. The reversal of 6706627056 is 6507266076.

It is an interprime number because it is at equal distance from previous prime (6706627051) and next prime (6706627061).

It is a super-3 number, since 3×67066270563 (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6706627051) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 721285 + ... + 730523.

Almost surely, 26706627056 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 6706627056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9519690180).

6706627056 is an abundant number, since it is smaller than the sum of its proper divisors (12332753304).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6706627056 is a wasteful number, since it uses less digits than its factorization.

6706627056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9395 (or 9315 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The square root of 6706627056 is about 81893.9989010184. The cubic root of 6706627056 is about 1885.8249859058.

The spelling of 6706627056 in words is "six billion, seven hundred six million, six hundred twenty-seven thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 71 72 142 144 213 284 426 568 639 852 1136 1278 1704 2556 3408 5041 5112 9239 10082 10224 15123 18478 20164 27717 30246 36956 40328 45369 55434 60492 73912 80656 83151 90738 110868 120984 147824 166302 181476 221736 241968 332604 362952 443472 655969 665208 725904 1311938 1330416 1967907 2623876 3935814 5247752 5903721 7871628 10495504 11807442 15743256 23614884 31486512 46573799 47229768 93147598 94459536 139721397 186295196 279442794 372590392 419164191 558885588 745180784 838328382 1117771176 1676656764 2235542352 3353313528 6706627056