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66611712 = 293172551
BaseRepresentation
bin1111111000011…
…0101000000000
311122100020002110
43332012220000
5114023033322
610335415320
71436122146
oct376065000
9148306073
1066611712
1134667402
121a384540
1310a5351b
148bbd596
155cabc0c
hex3f86a00

66611712 has 80 divisors (see below), whose sum is σ = 187970112. Its totient is φ = 20889600.

The previous prime is 66611711. The next prime is 66611717. The reversal of 66611712 is 21711666.

It is a self number, because there is not a number n which added to its sum of digits gives 66611712.

It is not an unprimeable number, because it can be changed into a prime (66611711) 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 7 ways as a sum of consecutive naturals, for example, 24837 + ... + 27387.

Almost surely, 266611712 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 66611712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93985056).

66611712 is an abundant number, since it is smaller than the sum of its proper divisors (121358400).

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

66611712 is a wasteful number, since it uses less digits than its factorization.

66611712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2589 (or 2573 counting only the distinct ones).

The product of its digits is 3024, while the sum is 30.

The square root of 66611712 is about 8161.5998431680. The cubic root of 66611712 is about 405.3686872825.

The spelling of 66611712 in words is "sixty-six million, six hundred eleven thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 256 272 384 408 512 544 768 816 1088 1536 1632 2176 2551 3264 4352 5102 6528 7653 8704 10204 13056 15306 20408 26112 30612 40816 43367 61224 81632 86734 122448 130101 163264 173468 244896 260202 326528 346936 489792 520404 653056 693872 979584 1040808 1306112 1387744 1959168 2081616 2775488 3918336 4163232 5550976 8326464 11101952 16652928 22203904 33305856 66611712