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21493521450 = 2335236714337
BaseRepresentation
bin10100000001000111…
…010001110000101010
32001110220212000112000
4110001013101300222
5323004320141300
613512440431430
71360425626562
oct240107216052
961426760460
1021493521450
11912a594875
1241ba178576
132046c3c13b
14107c7bdda2
1585be35c00
hex5011d1c2a

21493521450 has 96 divisors (see below), whose sum is σ = 59256385920. Its totient is φ = 5728723200.

The previous prime is 21493521391. The next prime is 21493521451. The reversal of 21493521450 is 5412539412.

21493521450 is a `hidden beast` number, since 2 + 1 + 4 + 93 + 521 + 45 + 0 = 666.

It is a super-2 number, since 2×214935214502 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21493521451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4953682 + ... + 4958018.

It is an arithmetic number, because the mean of its divisors is an integer number (617254020).

Almost surely, 221493521450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21493521450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29628192960).

21493521450 is an abundant number, since it is smaller than the sum of its proper divisors (37762864470).

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

21493521450 is a wasteful number, since it uses less digits than its factorization.

21493521450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8029 (or 8018 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 21493521450 in words is "twenty-one billion, four hundred ninety-three million, five hundred twenty-one thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 90 135 150 225 270 450 675 1350 3671 4337 7342 8674 11013 13011 18355 21685 22026 26022 33039 36710 39033 43370 55065 65055 66078 78066 91775 99117 108425 110130 117099 130110 165195 183550 195165 198234 216850 234198 275325 325275 330390 390330 495585 550650 585495 650550 825975 975825 991170 1170990 1651950 1951650 2477925 2927475 4955850 5854950 15921127 31842254 47763381 79605635 95526762 143290143 159211270 238816905 286580286 398028175 429870429 477633810 716450715 796056350 859740858 1194084525 1432901430 2149352145 2388169050 3582253575 4298704290 7164507150 10746760725 21493521450