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66110110027 = 1322116912683
BaseRepresentation
bin111101100100011110…
…000011100101001011
320022122022211112222121
4331210132003211023
52040343142010102
650212013032111
74530161443363
oct754436034513
9208568745877
1066110110027
1126045485175
1210990185637
136307599400
1432b21659a3
151abdd8ab37
hexf6478394b

66110110027 has 24 divisors (see below), whose sum is σ = 72056897088. Its totient is φ = 60625000800.

The previous prime is 66110109979. The next prime is 66110110037. The reversal of 66110110027 is 72001101166.

It is a happy number.

It is not a de Polignac number, because 66110110027 - 211 = 66110107979 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 66110109983 and 66110110010.

It is not an unprimeable number, because it can be changed into a prime (66110110037) 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 23 ways as a sum of consecutive naturals, for example, 24639028 + ... + 24641710.

It is an arithmetic number, because the mean of its divisors is an integer number (3002370712).

Almost surely, 266110110027 is an apocalyptic number.

66110110027 is a deficient number, since it is larger than the sum of its proper divisors (5946787061).

66110110027 is a wasteful number, since it uses less digits than its factorization.

66110110027 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3611 (or 3598 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 25.

The spelling of 66110110027 in words is "sixty-six billion, one hundred ten million, one hundred ten thousand, twenty-seven".

Divisors: 1 13 169 211 691 2683 2743 8983 34879 35659 116779 145801 453427 566113 1853953 1895413 7359469 24101389 24640369 95673097 313318057 391184083 5085393079 66110110027