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66123371061 = 3311220239783
BaseRepresentation
bin111101100101010000…
…101001001000110101
320022200020210021201000
4331211100221020311
52040410040333221
650213205153513
74530412244316
oct754520511065
9208606707630
1066123371061
1126051a12400
12109946bb899
13630a260387
1432b3c1860d
151ac0109e26
hexf65429235

66123371061 has 24 divisors (see below), whose sum is σ = 107675650880. Its totient is φ = 40074768360.

The previous prime is 66123371059. The next prime is 66123371081. The reversal of 66123371061 is 16017332166.

66123371061 is a `hidden beast` number, since 6 + 612 + 3 + 37 + 1 + 0 + 6 + 1 = 666.

It is not a de Polignac number, because 66123371061 - 21 = 66123371059 is a prime.

It is a super-3 number, since 3×661233710613 (a number of 33 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66123371011) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 10116625 + ... + 10123158.

Almost surely, 266123371061 is an apocalyptic number.

It is an amenable number.

66123371061 is a deficient number, since it is larger than the sum of its proper divisors (41552279819).

66123371061 is a wasteful number, since it uses less digits than its factorization.

66123371061 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20239814 (or 20239797 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The spelling of 66123371061 in words is "sixty-six billion, one hundred twenty-three million, three hundred seventy-one thousand, sixty-one".

Divisors: 1 3 9 11 27 33 99 121 297 363 1089 3267 20239783 60719349 182158047 222637613 546474141 667912839 2003738517 2449013743 6011215551 7347041229 22041123687 66123371061