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66556122453184 = 2671335813191261
BaseRepresentation
bin11110010001000010011100…
…00010010101010011000000
322201122200222121102210121011
433020201032002111103000
532210423414322000214
6353315243251410304
720006343521336620
oct1710411602252300
9281580877383534
1066556122453184
111a230325012771
12756b0328b3994
132b1a2a536a220
141261495242880
157a6426788ac4
hex3c884e0954c0

66556122453184 has 112 divisors (see below), whose sum is σ = 162595973284416. Its totient is φ = 26322533683200.

The previous prime is 66556122453103. The next prime is 66556122453241. The reversal of 66556122453184 is 48135422165566.

It is a tau number, because it is divible by the number of its divisors (112).

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 15 ways as a sum of consecutive naturals, for example, 19260114 + ... + 22451374.

It is an arithmetic number, because the mean of its divisors is an integer number (1451749761468).

Almost surely, 266556122453184 is an apocalyptic number.

66556122453184 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66556122453184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81297986642208).

66556122453184 is an abundant number, since it is smaller than the sum of its proper divisors (96039850831232).

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

66556122453184 is a wasteful number, since it uses less digits than its factorization.

66556122453184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3194874 (or 3194864 counting only the distinct ones).

The product of its digits is 41472000, while the sum is 58.

The spelling of 66556122453184 in words is "sixty-six trillion, five hundred fifty-six billion, one hundred twenty-two million, four hundred fifty-three thousand, one hundred eighty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 182 208 224 364 416 448 728 832 1456 2912 3581 5824 7162 14324 25067 28648 46553 50134 57296 93106 100268 114592 186212 200536 229184 325871 372424 401072 651742 744848 802144 1303484 1489696 1604288 2606968 2979392 3191261 5213936 6382522 10427872 12765044 20855744 22338827 25530088 41486393 44677654 51060176 82972786 89355308 102120352 165945572 178710616 204240704 290404751 331891144 357421232 580809502 663782288 714842464 1161619004 1327564576 1429684928 2323238008 2655129152 4646476016 9292952032 11427905641 18585904064 22855811282 45711622564 79995339487 91423245128 148562773333 159990678974 182846490256 297125546666 319981357948 365692980512 594251093332 639962715896 731385961024 1039939413331 1188502186664 1279925431792 2079878826662 2377004373328 2559850863584 4159757653324 4754008746656 5119701727168 8319515306648 9508017493312 16639030613296 33278061226592 66556122453184