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66116461166 = 2731713940787
BaseRepresentation
bin111101100100110110…
…010010001001101110
320022122202210020002222
4331210312102021232
52040401303224131
650212401115342
74530266435000
oct754466221156
9208582706088
1066116461166
1126049022948
1210992328b52
1363089b1192
1432b2d3a370
151abe6e287b
hexf64d9226e

66116461166 has 64 divisors (see below), whose sum is σ = 123342912000. Its totient is φ = 26476313472.

The previous prime is 66116461163. The next prime is 66116461223.

It is a happy number.

66116461166 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×661164611663 (a number of 33 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66116461163) 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 31 ways as a sum of consecutive naturals, for example, 1600625 + ... + 1641411.

It is an arithmetic number, because the mean of its divisors is an integer number (1927233000).

Almost surely, 266116461166 is an apocalyptic number.

66116461166 is a deficient number, since it is larger than the sum of its proper divisors (57226450834).

66116461166 is a wasteful number, since it uses less digits than its factorization.

66116461166 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40966 (or 40952 counting only the distinct ones).

The product of its digits is 186624, while the sum is 44.

The spelling of 66116461166 in words is "sixty-six billion, one hundred sixteen million, four hundred sixty-one thousand, one hundred sixty-six".

Divisors: 1 2 7 14 17 34 49 98 119 139 238 278 343 686 833 973 1666 1946 2363 4726 5831 6811 11662 13622 16541 33082 40787 47677 81574 95354 115787 231574 285509 571018 693379 810509 1386758 1621018 1998563 3997126 4853653 5669393 9707306 11338786 13989941 27979882 33975571 39685751 67951142 79371502 96379681 192759362 237828997 277800257 475657994 555600514 674657767 1349315534 1944601799 3889203598 4722604369 9445208738 33058230583 66116461166