Search a number
-
+
66258633856 = 273726952009
BaseRepresentation
bin111101101101010100…
…101000010010000000
320100000200022100101011
4331231110220102000
52041144202240411
650234440250304
74533644044432
oct755524502200
9210020270334
1066258633856
11261112a9338
1210a11a70994
13632c29c42c
1432c7b88652
151acbe27c21
hexf6d528480

66258633856 has 64 divisors (see below), whose sum is σ = 136073763000. Its totient is φ = 32113483776.

The previous prime is 66258633853. The next prime is 66258633907. The reversal of 66258633856 is 65833685266.

It can be written as a sum of positive squares in 4 ways, for example, as 66040776256 + 217857600 = 256984^2 + 14760^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 66258633856.

It is not an unprimeable number, because it can be changed into a prime (66258633851) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1247980 + ... + 1299988.

Almost surely, 266258633856 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 66258633856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68036881500).

66258633856 is an abundant number, since it is smaller than the sum of its proper divisors (69815129144).

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

66258633856 is a wasteful number, since it uses less digits than its factorization.

66258633856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52329 (or 52317 counting only the distinct ones).

The product of its digits is 37324800, while the sum is 58.

The spelling of 66258633856 in words is "sixty-six billion, two hundred fifty-eight million, six hundred thirty-three thousand, eight hundred fifty-six".

Divisors: 1 2 4 8 16 32 37 64 74 128 148 269 296 538 592 1076 1184 2152 2368 4304 4736 8608 9953 17216 19906 34432 39812 52009 79624 104018 159248 208036 318496 416072 636992 832144 1273984 1664288 1924333 3328576 3848666 6657152 7697332 13990421 15394664 27980842 30789328 55961684 61578656 111923368 123157312 223846736 246314624 447693472 517645577 895386944 1035291154 1790773888 2070582308 4141164616 8282329232 16564658464 33129316928 66258633856