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66107412 = 22327262331
BaseRepresentation
bin1111110000101…
…1100000010100
311121101121022200
43330023200110
5113410414122
610320524500
71431621660
oct374134024
9147347280
1066107412
1134352528
121a180730
1310907b17
148acb8a0
155c0c5ac
hex3f0b814

66107412 has 36 divisors (see below), whose sum is σ = 190977696. Its totient is φ = 18887760.

The previous prime is 66107401. The next prime is 66107423. The reversal of 66107412 is 21470166.

66107412 is a `hidden beast` number, since 6 + 610 + 7 + 41 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (66107401) and next prime (66107423).

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 130914 + ... + 131417.

It is an arithmetic number, because the mean of its divisors is an integer number (5304936).

Almost surely, 266107412 is an apocalyptic number.

It is an amenable number.

66107412 is an abundant number, since it is smaller than the sum of its proper divisors (124870284).

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

66107412 is a wasteful number, since it uses less digits than its factorization.

66107412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262348 (or 262343 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 66107412 is about 8130.6464687625. The cubic root of 66107412 is about 404.3431143881.

Adding to 66107412 its reverse (21470166), we get a palindrome (87577578).

The spelling of 66107412 in words is "sixty-six million, one hundred seven thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 262331 524662 786993 1049324 1573986 1836317 2360979 3147972 3672634 4721958 5508951 7345268 9443916 11017902 16526853 22035804 33053706 66107412