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66430742224 = 24711433124529
BaseRepresentation
bin111101110111100101…
…001010111011010000
320100110200011100200011
4331313211022323100
52042022232222344
650303505204304
74541133664210
oct756745127320
9210420140604
1066430742224
112619a470960
1210a5b630694
136358b3c2c2
14330298a240
151adc0c2d34
hexf7794aed0

66430742224 has 80 divisors (see below), whose sum is σ = 160840955520. Its totient is φ = 25822126080.

The previous prime is 66430742171. The next prime is 66430742227. The reversal of 66430742224 is 42224703466.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66430742227) 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, 471192 + ... + 595720.

It is an arithmetic number, because the mean of its divisors is an integer number (2010511944).

Almost surely, 266430742224 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 66430742224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80420477760).

66430742224 is an abundant number, since it is smaller than the sum of its proper divisors (94410213296).

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

66430742224 is a wasteful number, since it uses less digits than its factorization.

66430742224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124988 (or 124982 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 40.

The spelling of 66430742224 in words is "sixty-six billion, four hundred thirty million, seven hundred forty-two thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 77 88 112 154 176 308 433 616 866 1232 1732 3031 3464 4763 6062 6928 9526 12124 19052 24248 33341 38104 48496 66682 76208 124529 133364 249058 266728 498116 533456 871703 996232 1369819 1743406 1992464 2739638 3486812 5479276 6973624 9588733 10958552 13947248 19177466 21917104 38354932 53921057 76709864 107842114 153419728 215684228 377447399 431368456 593131627 754894798 862736912 1186263254 1509789596 2372526508 3019579192 4151921389 4745053016 6039158384 8303842778 9490106032 16607685556 33215371112 66430742224