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66348774 = 23310711483
BaseRepresentation
bin1111110100011…
…0011011100110
311121211212102000
43331012123212
5113441130044
610330030130
71433645442
oct375063346
9147755360
1066348774
11344a78a8
121a278346
131099093b
148b51822
155c58d69
hex3f466e6

66348774 has 32 divisors (see below), whose sum is σ = 148832640. Its totient is φ = 21907656.

The previous prime is 66348769. The next prime is 66348791. The reversal of 66348774 is 47784366.

66348774 is a `hidden beast` number, since 6 + 634 + 8 + 7 + 7 + 4 = 666.

It is a super-2 number, since 2×663487742 = 8804319622606152, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37 + ... + 11519.

It is an arithmetic number, because the mean of its divisors is an integer number (4651020).

Almost surely, 266348774 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66348774, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74416320).

66348774 is an abundant number, since it is smaller than the sum of its proper divisors (82483866).

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

66348774 is a wasteful number, since it uses less digits than its factorization.

66348774 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11601 (or 11595 counting only the distinct ones).

The product of its digits is 677376, while the sum is 45.

The square root of 66348774 is about 8145.4756767177. The cubic root of 66348774 is about 404.8346101095.

The spelling of 66348774 in words is "sixty-six million, three hundred forty-eight thousand, seven hundred seventy-four".

Divisors: 1 2 3 6 9 18 27 54 107 214 321 642 963 1926 2889 5778 11483 22966 34449 68898 103347 206694 310041 620082 1228681 2457362 3686043 7372086 11058129 22116258 33174387 66348774