Search a number
-
+
1468059453 = 327219241727
BaseRepresentation
bin101011110000000…
…1100111100111101
310210022102010222100
41113200030330331
511001310400303
6401401335313
751244204500
oct12740147475
93708363870
101468059453
11693754883
1234b797539
131a51bac43
14dcd8b137
1588d3a8a3
hex5780cf3d

1468059453 has 72 divisors (see below), whose sum is σ = 2610928320. Its totient is φ = 790352640.

The previous prime is 1468059443. The next prime is 1468059469. The reversal of 1468059453 is 3549508641.

1468059453 is a `hidden beast` number, since 1 + 4 + 6 + 8 + 0 + 594 + 53 = 666.

It is not a de Polignac number, because 1468059453 - 26 = 1468059389 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1468059399 and 1468059408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1468059413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2018976 + ... + 2019702.

Almost surely, 21468059453 is an apocalyptic number.

It is an amenable number.

1468059453 is a deficient number, since it is larger than the sum of its proper divisors (1142868867).

1468059453 is a wasteful number, since it uses less digits than its factorization.

1468059453 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1007 (or 997 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The square root of 1468059453 is about 38315.2639688154. The cubic root of 1468059453 is about 1136.5308131147.

The spelling of 1468059453 in words is "one billion, four hundred sixty-eight million, fifty-nine thousand, four hundred fifty-three".

Divisors: 1 3 7 9 19 21 49 57 63 133 147 171 241 399 441 723 727 931 1197 1687 2169 2181 2793 4579 5061 5089 6543 8379 11809 13737 13813 15183 15267 32053 35427 35623 41211 41439 45801 96159 96691 106281 106869 124317 175207 224371 288477 290073 320607 525621 673113 676837 870219 1226449 1576863 2019339 2030511 3328933 3679347 6091533 8585143 9986799 11038041 23302531 25755429 29960397 69907593 77266287 163117717 209722779 489353151 1468059453