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66339114624 = 2732531086529
BaseRepresentation
bin111101110010000111…
…101000111010000000
320100020021202012020100
4331302013220322000
52041330303131444
650250433242400
74535642112306
oct756207507200
9210207665210
1066339114624
1126152778772
1210a34a03400
136342b6a5a3
1432d4738276
151ad4023e69
hexf721e8e80

66339114624 has 96 divisors (see below), whose sum is σ = 194499735300. Its totient is φ = 21695791104.

The previous prime is 66339114577. The next prime is 66339114629. The reversal of 66339114624 is 42641193366.

66339114624 is a `hidden beast` number, since 6 + 6 + 3 + 3 + 9 + 1 + 14 + 624 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 60009321024 + 6329793600 = 244968^2 + 79560^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×663391146242 (a number of 22 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 66339114624.

It is not an unprimeable number, because it can be changed into a prime (66339114629) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 482209 + ... + 604320.

Almost surely, 266339114624 is an apocalyptic number.

66339114624 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

66339114624 is an abundant number, since it is smaller than the sum of its proper divisors (128160620676).

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

66339114624 is a wasteful number, since it uses less digits than its factorization.

66339114624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1086602 (or 1086587 counting only the distinct ones).

The product of its digits is 559872, while the sum is 45.

The spelling of 66339114624 in words is "sixty-six billion, three hundred thirty-nine million, one hundred fourteen thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 53 64 72 96 106 128 144 159 192 212 288 318 384 424 477 576 636 848 954 1152 1272 1696 1908 2544 3392 3816 5088 6784 7632 10176 15264 20352 30528 61056 1086529 2173058 3259587 4346116 6519174 8692232 9778761 13038348 17384464 19557522 26076696 34768928 39115044 52153392 57586037 69537856 78230088 104306784 115172074 139075712 156460176 172758111 208613568 230344148 312920352 345516222 417227136 460688296 518274333 625840704 691032444 921376592 1036548666 1251681408 1382064888 1842753184 2073097332 2764129776 3685506368 4146194664 5528259552 7371012736 8292389328 11056519104 16584778656 22113038208 33169557312 66339114624