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66506706 = 23271074933
BaseRepresentation
bin1111110110110…
…0111111010010
311122010220001100
43331230333102
5114011203311
610333245230
71435204050
oct375547722
9148126040
1066506706
11345a5522
121a333816
1310a177a6
148b931d0
155c8aa56
hex3f6cfd2

66506706 has 48 divisors (see below), whose sum is σ = 166256064. Its totient is φ = 18820512.

The previous prime is 66506701. The next prime is 66506711. The reversal of 66506706 is 60760566.

It is an interprime number because it is at equal distance from previous prime (66506701) and next prime (66506711).

It is not an unprimeable number, because it can be changed into a prime (66506701) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11016 + ... + 15948.

It is an arithmetic number, because the mean of its divisors is an integer number (3463668).

Almost surely, 266506706 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66506706, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83128032).

66506706 is an abundant number, since it is smaller than the sum of its proper divisors (99749358).

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

66506706 is a wasteful number, since it uses less digits than its factorization.

66506706 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5055 (or 5052 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 66506706 is about 8155.1643760258. The cubic root of 66506706 is about 405.1555689502.

The spelling of 66506706 in words is "sixty-six million, five hundred six thousand, seven hundred six".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 107 126 214 321 642 749 963 1498 1926 2247 4494 4933 6741 9866 13482 14799 29598 34531 44397 69062 88794 103593 207186 310779 527831 621558 1055662 1583493 3166986 3694817 4750479 7389634 9500958 11084451 22168902 33253353 66506706