Search a number
-
+
10555335024 = 24313109311499
BaseRepresentation
bin10011101010010010…
…11010000101110000
31000020121201120120020
421311021122011300
5133104131210044
64503221243440
7522366603333
oct116511320560
930217646506
1010555335024
114527236483
122066b63580
13cc2a78090
14721c0061a
1541ba06a19
hex27525a170

10555335024 has 160 divisors (see below), whose sum is σ = 29789760000. Its totient is φ = 3201223680.

The previous prime is 10555334989. The next prime is 10555335029. The reversal of 10555335024 is 42053355501.

It is a happy number.

It is a super-2 number, since 2×105553350242 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10555335029) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21152727 + ... + 21153225.

It is an arithmetic number, because the mean of its divisors is an integer number (186186000).

Almost surely, 210555335024 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 10555335024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14894880000).

10555335024 is an abundant number, since it is smaller than the sum of its proper divisors (19234424976).

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

10555335024 is a wasteful number, since it uses less digits than its factorization.

10555335024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 943 (or 937 counting only the distinct ones).

The product of its (nonzero) digits is 45000, while the sum is 33.

The spelling of 10555335024 in words is "ten billion, five hundred fifty-five million, three hundred thirty-five thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 109 156 208 218 311 312 327 436 499 622 624 654 872 933 998 1244 1308 1417 1497 1744 1866 1996 2488 2616 2834 2994 3732 3992 4043 4251 4976 5232 5668 5988 6487 7464 7984 8086 8502 11336 11976 12129 12974 14928 16172 17004 19461 22672 23952 24258 25948 32344 33899 34008 38922 48516 51896 54391 64688 67798 68016 77844 97032 101697 103792 108782 135596 155189 155688 163173 194064 203394 217564 271192 310378 311376 326346 406788 435128 440687 465567 542384 620756 652692 707083 813576 870256 881374 931134 1241512 1305384 1322061 1414166 1627152 1762748 1862268 2017457 2121249 2483024 2610768 2644122 2828332 3525496 3724536 4034914 4242498 5288244 5656664 6052371 7050992 7449072 8069828 8484996 10576488 11313328 12104742 16139656 16915601 16969992 21152976 24209484 32279312 33831202 33939984 48418968 50746803 67662404 96837936 101493606 135324808 202987212 219902813 270649616 405974424 439805626 659708439 811948848 879611252 1319416878 1759222504 2638833756 3518445008 5277667512 10555335024