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66322117314 = 23223563928409
BaseRepresentation
bin111101110001000110…
…110011001011000010
320100012002202122022100
4331301012303023002
52041311430223224
650245025051230
74535344460415
oct756106631302
9210162678270
1066322117314
1126144119402
1210a2b186b16
13633c498acb
1432d2391b7c
151ad27b7ac9
hexf711b32c2

66322117314 has 48 divisors (see below), whose sum is σ = 149977526400. Its totient is φ = 21141688128.

The previous prime is 66322117261. The next prime is 66322117339. The reversal of 66322117314 is 41371122366.

66322117314 is a `hidden beast` number, since 6 + 6 + 322 + 1 + 17 + 314 = 666.

66322117314 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2320342 + ... + 2348750.

It is an arithmetic number, because the mean of its divisors is an integer number (3124531800).

Almost surely, 266322117314 is an apocalyptic number.

66322117314 is an abundant number, since it is smaller than the sum of its proper divisors (83655409086).

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

66322117314 is a wasteful number, since it uses less digits than its factorization.

66322117314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34079 (or 34076 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The spelling of 66322117314 in words is "sixty-six billion, three hundred twenty-two million, one hundred seventeen thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 18 23 46 69 138 207 414 5639 11278 16917 28409 33834 50751 56818 85227 101502 129697 170454 255681 259394 389091 511362 653407 778182 1167273 1306814 1960221 2334546 3920442 5880663 11761326 160198351 320396702 480595053 961190106 1441785159 2883570318 3684562073 7369124146 11053686219 22107372438 33161058657 66322117314