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66322117312 = 2611253161591
BaseRepresentation
bin111101110001000110…
…110011001011000000
320100012002202122022021
4331301012303023000
52041311430223222
650245025051224
74535344460413
oct756106631300
9210162678267
1066322117312
1126144119400
1210a2b186b14
13633c498ac9
1432d2391b7a
151ad27b7ac7
hexf711b32c0

66322117312 has 84 divisors (see below), whose sum is σ = 147390325488. Its totient is φ = 29577433600.

The previous prime is 66322117261. The next prime is 66322117339. The reversal of 66322117312 is 21371122366.

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 11 ways as a sum of consecutive naturals, for example, 329637 + ... + 491227.

It is an arithmetic number, because the mean of its divisors is an integer number (1754646732).

Almost surely, 266322117312 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 66322117312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73695162744).

66322117312 is an abundant number, since it is smaller than the sum of its proper divisors (81068208176).

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

66322117312 is a wasteful number, since it uses less digits than its factorization.

66322117312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161678 (or 161657 counting only the distinct ones).

The product of its digits is 18144, while the sum is 34.

Adding to 66322117312 its reverse (21371122366), we get a palindrome (87693239678).

The spelling of 66322117312 in words is "sixty-six billion, three hundred twenty-two million, one hundred seventeen thousand, three hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 53 64 88 106 121 176 212 242 352 424 484 583 704 848 968 1166 1696 1936 2332 3392 3872 4664 6413 7744 9328 12826 18656 25652 37312 51304 102608 161591 205216 323182 410432 646364 1292728 1777501 2585456 3555002 5170912 7110004 8564323 10341824 14220008 17128646 19552511 28440016 34257292 39105022 56880032 68514584 78210044 94207553 113760064 137029168 156420088 188415106 274058336 312840176 376830212 548116672 625680352 753660424 1036283083 1251360704 1507320848 2072566166 3014641696 4145132332 6029283392 8290264664 16580529328 33161058656 66322117312