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66665433456666 = 232116114243387529
BaseRepresentation
bin11110010100001110000010…
…11110101110000000011010
322202001011010200101010102200
433022013001132232000122
532214221301431103131
6353441402145511030
720020263405465102
oct1712070136560032
9282034120333380
1066665433456666
111a272719249570
12758825a942476
132b276a5bab285
1412668a4b14202
157a91c31342e6
hex3ca1c17ae01a

66665433456666 has 96 divisors (see below), whose sum is σ = 160167661917120. Its totient is φ = 19869025593600.

The previous prime is 66665433456593. The next prime is 66665433456719.

66665433456666 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×666654334566662 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 66665433456594 and 66665433456603.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 171833190 + ... + 172220718.

It is an arithmetic number, because the mean of its divisors is an integer number (1668413144970).

Almost surely, 266665433456666 is an apocalyptic number.

66665433456666 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 66665433456666, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80083830958560).

66665433456666 is an abundant number, since it is smaller than the sum of its proper divisors (93502228460454).

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

66665433456666 is a wasteful number, since it uses less digits than its factorization.

66665433456666 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401852 (or 401849 counting only the distinct ones).

The product of its digits is 6046617600, while the sum is 72.

The spelling of 66665433456666 in words is "sixty-six trillion, six hundred sixty-five billion, four hundred thirty-three million, four hundred fifty-six thousand, six hundred sixty-six".

Divisors: 1 2 3 6 9 11 18 22 33 61 66 99 122 183 198 366 549 671 1098 1342 2013 4026 6039 12078 14243 28486 42729 85458 128187 156673 256374 313346 387529 470019 775058 868823 940038 1162587 1410057 1737646 2325174 2606469 2820114 3487761 4262819 5212938 6975522 7819407 8525638 9557053 12788457 15638814 19114106 23639269 25576914 28671159 38365371 47278538 57342318 70917807 76730742 86013477 141835614 172026954 212753421 260031959 425506842 520063918 780095877 1560191754 2340287631 4680575262 5519575547 11039151094 16558726641 33117453282 49676179923 60715331017 99352359846 121430662034 182145993051 336694108367 364291986102 546437979153 673388216734 1010082325101 1092875958306 2020164650202 3030246975303 3703635192037 6060493950606 7407270384074 11110905576111 22221811152222 33332716728333 66665433456666