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66424512 = 2637114493
BaseRepresentation
bin1111110101100…
…0111011000000
311121222201022010
43331120323000
5114001041022
610331412520
71434412320
oct375307300
9147881263
1066424512
11345497a0
121a2b4140
13109b925b
148b71280
155c7150c
hex3f58ec0

66424512 has 112 divisors (see below), whose sum is σ = 219163392. Its totient is φ = 17249280.

The previous prime is 66424511. The next prime is 66424541. The reversal of 66424512 is 21542466.

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 66424512.

It is not an unprimeable number, because it can be changed into a prime (66424511) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12538 + ... + 17030.

It is an arithmetic number, because the mean of its divisors is an integer number (1956816).

Almost surely, 266424512 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 66424512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109581696).

66424512 is an abundant number, since it is smaller than the sum of its proper divisors (152738880).

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

66424512 is a wasteful number, since it uses less digits than its factorization.

66424512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4526 (or 4516 counting only the distinct ones).

The product of its digits is 11520, while the sum is 30.

The square root of 66424512 is about 8150.1234346481. The cubic root of 66424512 is about 404.9885928810.

Adding to 66424512 its reverse (21542466), we get a palindrome (87966978).

The spelling of 66424512 in words is "sixty-six million, four hundred twenty-four thousand, five hundred twelve".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 64 66 77 84 88 96 112 132 154 168 176 192 224 231 264 308 336 352 448 462 528 616 672 704 924 1056 1232 1344 1848 2112 2464 3696 4493 4928 7392 8986 13479 14784 17972 26958 31451 35944 49423 53916 62902 71888 94353 98846 107832 125804 143776 148269 188706 197692 215664 251608 287552 296538 345961 377412 395384 431328 503216 593076 691922 754824 790768 862656 1006432 1037883 1186152 1383844 1509648 1581536 2012864 2075766 2372304 2767688 3019296 3163072 4151532 4744608 5535376 6038592 8303064 9489216 11070752 16606128 22141504 33212256 66424512