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66717644012344 = 231318133749105019
BaseRepresentation
bin11110010101101111010010…
…11110001011101100111000
322202020010220022202011101001
433022313221132023230320
532221100213331343334
6353521355035134344
720024122262052433
oct1712675136135470
9282203808664331
1066717644012344
111a2928807a0836
1275963abba43b4
132b2c5a69070c0
141269218c6c81a
157aa72bacd714
hex3cade978bb38

66717644012344 has 64 divisors (see below), whose sum is σ = 135467923500000. Its totient is φ = 30621434088960.

The previous prime is 66717644012207. The next prime is 66717644012359. The reversal of 66717644012344 is 44321044671766.

It is a super-2 number, since 2×667176440123442 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 635238667 + ... + 635343685.

Almost surely, 266717644012344 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 66717644012344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67733961750000).

66717644012344 is an abundant number, since it is smaller than the sum of its proper divisors (68750279487656).

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

66717644012344 is a wasteful number, since it uses less digits than its factorization.

66717644012344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138968 (or 138964 counting only the distinct ones).

The product of its (nonzero) digits is 16257024, while the sum is 55.

The spelling of 66717644012344 in words is "sixty-six trillion, seven hundred seventeen billion, six hundred forty-four million, twelve thousand, three hundred forty-four".

Divisors: 1 2 4 8 13 26 52 104 181 362 724 1448 2353 4706 9412 18824 33749 67498 105019 134996 210038 269992 420076 438737 840152 877474 1365247 1754948 2730494 3509896 5460988 6108569 10921976 12217138 19008439 24434276 38016878 48868552 76033756 79411397 152067512 158822794 247109707 317645588 494219414 635291176 988438828 1976877656 3544286231 7088572462 14177144924 28354289848 46075721003 92151442006 184302884012 368605768024 641515807811 1283031615622 2566063231244 5132126462488 8339705501543 16679411003086 33358822006172 66717644012344