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66166161126 = 23136131674391
BaseRepresentation
bin111101100111110011…
…110111111011100110
320022210020022020122020
4331213303313323212
52041002014124001
650221334244010
74531442042562
oct754763677346
9208706266566
1066166161126
112607408919a
12109a6ab6606
136316092b40
1432b97966a2
151ac3c5d736
hexf67cf7ee6

66166161126 has 64 divisors (see below), whose sum is σ = 144926724096. Its totient is φ = 20014185600.

The previous prime is 66166161121. The next prime is 66166161143. The reversal of 66166161126 is 62116166166.

It is a nude number because it is divisible by every one of its digits.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66166161121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15066391 + ... + 15070781.

It is an arithmetic number, because the mean of its divisors is an integer number (2264480064).

Almost surely, 266166161126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66166161126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72463362048).

66166161126 is an abundant number, since it is smaller than the sum of its proper divisors (78760562970).

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

66166161126 is a wasteful number, since it uses less digits than its factorization.

66166161126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7637.

The product of its digits is 93312, while the sum is 42.

The spelling of 66166161126 in words is "sixty-six billion, one hundred sixty-six million, one hundred sixty-one thousand, one hundred twenty-six".

Divisors: 1 2 3 6 13 26 39 61 78 122 183 366 793 1586 2379 3167 4391 4758 6334 8782 9501 13173 19002 26346 41171 57083 82342 114166 123513 171249 193187 247026 267851 342498 386374 535702 579561 803553 1159122 1607106 2511431 3482063 5022862 6964126 7534293 10446189 13906297 15068586 20892378 27812594 41718891 83437782 180781861 361563722 542345583 848284117 1084691166 1696568234 2544852351 5089704702 11027693521 22055387042 33083080563 66166161126