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66733734040071 = 37171471433929287
BaseRepresentation
bin11110010110001101010001…
…00000110001001000000111
322202021200102122222020222220
433023012220200301020013
532221331141403240241
6353533015412223423
720025232066042320
oct1713065040611007
9282250378866886
1066733734040071
111a29968813680a
12759954060ab73
132b30c6c221a77
141269d03b57447
157aad6e459166
hex3cb1a8831207

66733734040071 has 64 divisors (see below), whose sum is σ = 107772942090240. Its totient is φ = 35856522616320.

The previous prime is 66733734040013. The next prime is 66733734040079. The reversal of 66733734040071 is 17004043733766.

It is not a de Polignac number, because 66733734040071 - 221 = 66733731942919 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a junction number, because it is equal to n+sod(n) for n = 66733734039996 and 66733734040023.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66733734040079) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2278598190 + ... + 2278627476.

It is an arithmetic number, because the mean of its divisors is an integer number (1683952220160).

Almost surely, 266733734040071 is an apocalyptic number.

66733734040071 is a deficient number, since it is larger than the sum of its proper divisors (41039208050169).

66733734040071 is a wasteful number, since it uses less digits than its factorization.

66733734040071 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35124.

The product of its (nonzero) digits is 5334336, while the sum is 51.

The spelling of 66733734040071 in words is "sixty-six trillion, seven hundred thirty-three billion, seven hundred thirty-four million, forty thousand, seventy-one".

Divisors: 1 3 7 17 21 51 119 357 1471 4339 4413 10297 13017 25007 29287 30373 30891 73763 75021 87861 91119 175049 205009 221289 497879 516341 525147 615027 1493637 1549023 3485153 6382669 10455459 19148007 43081177 44678683 108505373 127076293 129243531 134036049 301568239 325516119 381228879 732380009 759537611 889534051 904704717 2160296981 2197140027 2278612833 2668602153 5126660063 6480890943 15122078867 15379980189 45366236601 186929227003 560787681009 1308504589021 3177796859051 3925513767063 9533390577153 22244578013357 66733734040071