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66723912 = 233617673
BaseRepresentation
bin1111111010001…
…0000001001000
311122112221000000
43332202001020
5114040131122
610342043000
71440100233
oct376420110
9148487000
1066723912
1134733732
121a419460
1310a92608
148c0c41a
155cd00ac
hex3fa2048

66723912 has 112 divisors (see below), whose sum is σ = 198904140. Its totient is φ = 20901888.

The previous prime is 66723911. The next prime is 66723941. The reversal of 66723912 is 21932766.

It can be written as a sum of positive squares in 2 ways, for example, as 66487716 + 236196 = 8154^2 + 486^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (66723911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 98808 + ... + 99480.

Almost surely, 266723912 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 66723912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99452070).

66723912 is an abundant number, since it is smaller than the sum of its proper divisors (132180228).

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

66723912 is a wasteful number, since it uses less digits than its factorization.

66723912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 714 (or 695 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 66723912 is about 8168.4706034851. The cubic root of 66723912 is about 405.5961590617.

The spelling of 66723912 in words is "sixty-six million, seven hundred twenty-three thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 81 102 108 136 153 162 204 216 243 306 324 408 459 486 612 648 673 729 918 972 1224 1346 1377 1458 1836 1944 2019 2692 2754 2916 3672 4038 4131 5384 5508 5832 6057 8076 8262 11016 11441 12114 12393 16152 16524 18171 22882 24228 24786 33048 34323 36342 45764 48456 49572 54513 68646 72684 91528 99144 102969 109026 137292 145368 163539 205938 218052 274584 308907 327078 411876 436104 490617 617814 654156 823752 926721 981234 1235628 1308312 1853442 1962468 2471256 2780163 3706884 3924936 5560326 7413768 8340489 11120652 16680978 22241304 33361956 66723912