Search a number
-
+
21544355330352 = 24325311512452561
BaseRepresentation
bin1001110011000001011111…
…01001010111100100110000
32211021121202011110212221100
410321200233221113210300
510310440314431032402
6113453201252324400
74352346131522241
oct471405751274460
984247664425840
1021544355330352
116956a00a18638
1224bb535013700
13c03815ba273a
14546a766a2cc8
1527564127a71c
hex13982fa57930

21544355330352 has 120 divisors (see below), whose sum is σ = 61485297689088. Its totient is φ = 7039828224000.

The previous prime is 21544355330317. The next prime is 21544355330357. The reversal of 21544355330352 is 25303355344512.

21544355330352 is a `hidden beast` number, since 2 + 1 + 5 + 4 + 43 + 553 + 3 + 0 + 3 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 21544355330298 and 21544355330307.

It is not an unprimeable number, because it can be changed into a prime (21544355330357) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7558152 + ... + 10010712.

Almost surely, 221544355330352 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 21544355330352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30742648844544).

21544355330352 is an abundant number, since it is smaller than the sum of its proper divisors (39940942358736).

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

21544355330352 is a wasteful number, since it uses less digits than its factorization.

21544355330352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2453779 (or 2453770 counting only the distinct ones).

The product of its (nonzero) digits is 3240000, while the sum is 45.

The spelling of 21544355330352 in words is "twenty-one trillion, five hundred forty-four billion, three hundred fifty-five million, three hundred thirty thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 53 72 106 144 159 212 318 424 477 636 848 954 1151 1272 1908 2302 2544 3453 3816 4604 6906 7632 9208 10359 13812 18416 20718 27624 41436 55248 61003 82872 122006 165744 183009 244012 366018 488024 549027 732036 976048 1098054 1464072 2196108 2452561 2928144 4392216 4905122 7357683 8784432 9810244 14715366 19620488 22073049 29430732 39240976 44146098 58861464 88292196 117722928 129985733 176584392 259971466 353168784 389957199 519942932 779914398 1039885864 1169871597 1559828796 2079771728 2339743194 2822897711 3119657592 4679486388 5645795422 6239315184 8468693133 9358972776 11291590844 16937386266 18717945552 22583181688 25406079399 33874772532 45166363376 50812158798 67749545064 101624317596 135499090128 149613578683 203248635192 299227157366 406497270384 448840736049 598454314732 897681472098 1196908629464 1346522208147 1795362944196 2393817258928 2693044416294 3590725888392 5386088832588 7181451776784 10772177665176 21544355330352