Search a number
-
+
63666063666 = 2351011319901
BaseRepresentation
bin111011010010110010…
…110000100100110010
320002022222221010200000
4323102302300210302
52020342003014131
645125304410430
74412463416652
oct732262604462
9202288833600
1063666063666
1125000918a47
1210409776a16
13600812b22a
14311d71c362
1519c9513ce6
hexed2cb0932

63666063666 has 96 divisors (see below), whose sum is σ = 145586016576. Its totient is φ = 20849400000.

The previous prime is 63666063649. The next prime is 63666063691. The reversal of 63666063666 is 66636066636.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6425316 + ... + 6435216.

It is an arithmetic number, because the mean of its divisors is an integer number (1516521006).

Almost surely, 263666063666 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63666063666, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72793008288).

63666063666 is an abundant number, since it is smaller than the sum of its proper divisors (81919952910).

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

63666063666 is a wasteful number, since it uses less digits than its factorization.

63666063666 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10150 (or 10138 counting only the distinct ones).

The product of its (nonzero) digits is 15116544, while the sum is 54.

The spelling of 63666063666 in words is "sixty-three billion, six hundred sixty-six million, sixty-three thousand, six hundred sixty-six".

Divisors: 1 2 3 6 9 18 27 54 81 101 131 162 202 243 262 303 393 486 606 786 909 1179 1818 2358 2727 3537 5454 7074 8181 9901 10611 13231 16362 19802 21222 24543 26462 29703 31833 39693 49086 59406 63666 79386 89109 119079 178218 238158 267327 357237 534654 714474 801981 1000001 1071711 1297031 1603962 2000002 2143422 2405943 2594062 3000003 3215133 3891093 4811886 6000006 6430266 7782186 9000009 11673279 18000018 23346558 27000027 35019837 54000054 70039674 81000081 105059511 131000131 162000162 210119022 243000243 262000262 315178533 393000393 486000486 630357066 786000786 1179001179 2358002358 3537003537 7074007074 10611010611 21222021222 31833031833 63666063666