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66747996 = 22337212613
BaseRepresentation
bin1111111010011…
…1111001011100
311122121011001000
43332213321130
5114041413441
610342350300
71440230400
oct376477134
9148534030
1066747996
113474a837
121a42b390
1310aa0573
148c17100
155cd72b6
hex3fa7e5c

66747996 has 72 divisors (see below), whose sum is σ = 201319440. Its totient is φ = 19069344.

The previous prime is 66747979. The next prime is 66748067. The reversal of 66747996 is 69974766.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1015 + ... + 11598.

Almost surely, 266747996 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66747996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100659720).

66747996 is an abundant number, since it is smaller than the sum of its proper divisors (134571444).

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

66747996 is a wasteful number, since it uses less digits than its factorization.

66747996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12640 (or 12625 counting only the distinct ones).

The product of its digits is 3429216, while the sum is 54.

The square root of 66747996 is about 8169.9446754553. The cubic root of 66747996 is about 405.6449531773.

The spelling of 66747996 in words is "sixty-six million, seven hundred forty-seven thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 84 98 108 126 147 189 196 252 294 378 441 588 756 882 1323 1764 2646 5292 12613 25226 37839 50452 75678 88291 113517 151356 176582 227034 264873 340551 353164 454068 529746 618037 681102 794619 1059492 1236074 1362204 1589238 1854111 2383857 2472148 3178476 3708222 4767714 5562333 7416444 9535428 11124666 16686999 22249332 33373998 66747996