Search a number
-
+
6493875381 = 35723173241
BaseRepresentation
bin1100000110001000…
…01010110010110101
3121202120101001100000
412003010022302311
5101244413003011
62552214141513
7316632013200
oct60304126265
917676331300
106493875381
112832694764
121312951899
137c64b8216
1445864c937
15280191356
hex18310acb5

6493875381 has 144 divisors (see below), whose sum is σ = 11889765888. Its totient is φ = 3527193600.

The previous prime is 6493875359. The next prime is 6493875413. The reversal of 6493875381 is 1835783946.

6493875381 is a `hidden beast` number, since 6 + 493 + 8 + 75 + 3 + 81 = 666.

It is not a de Polignac number, because 6493875381 - 29 = 6493874869 is a prime.

It is a super-2 number, since 2×64938753812 = 84340834927915790322, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6493875301) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 26945421 + ... + 26945661.

Almost surely, 26493875381 is an apocalyptic number.

It is an amenable number.

6493875381 is a deficient number, since it is larger than the sum of its proper divisors (5395890507).

6493875381 is a wasteful number, since it uses less digits than its factorization.

6493875381 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 355 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The square root of 6493875381 is about 80584.5852567351. The cubic root of 6493875381 is about 1865.6692350109.

The spelling of 6493875381 in words is "six billion, four hundred ninety-three million, eight hundred seventy-five thousand, three hundred eighty-one".

Divisors: 1 3 7 9 21 27 31 49 63 73 81 93 147 189 217 219 241 243 279 441 511 567 651 657 723 837 1323 1519 1533 1687 1701 1953 1971 2169 2263 2511 3577 3969 4557 4599 5061 5859 5913 6507 6789 7471 7533 10731 11809 11907 13671 13797 15183 15841 17577 17593 17739 19521 20367 22413 32193 35427 41013 41391 45549 47523 52297 52731 52779 58563 61101 67239 96579 106281 110887 123039 123151 124173 136647 142569 156891 158337 183303 201717 289737 318843 332661 366079 369117 369453 409941 427707 470673 475011 545383 549909 605151 862057 869211 956529 997983 1098237 1108359 1283121 1412019 1425033 1636149 1815453 2586171 2869587 2993949 3294711 3325077 3817681 3849363 4236057 4275099 4908447 7758513 8981847 9884133 9975231 11453043 12708171 14725341 23275539 26723767 26945541 29652399 29925693 34359129 44176023 69826617 80171301 88957197 103077387 132528069 209479851 240513903 309232161 721541709 927696483 2164625127 6493875381