Search a number
-
+
481055035005 = 325311095775483
BaseRepresentation
bin1110000000000010001…
…11010100111001111101
31200222200112220202221100
413000001013110321331
530340200042110010
61004554342523313
746516664221266
oct7000107247175
91628615822840
10481055035005
11176018031936
1279294436539
133649520c40c
14193d70d396d
15c7a781a2c0
hex70011d4e7d

481055035005 has 96 divisors (see below), whose sum is σ = 870287109120. Its totient is φ = 245537464320.

The previous prime is 481055035001. The next prime is 481055035037. The reversal of 481055035005 is 500530550184.

It is a happy number.

481055035005 is a `hidden beast` number, since 48 + 10 + 550 + 3 + 50 + 0 + 5 = 666.

It is not a de Polignac number, because 481055035005 - 22 = 481055035001 is a prime.

It is a super-3 number, since 3×4810550350053 (a number of 36 digits) contains 333 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (481055035001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 87732994 + ... + 87738476.

It is an arithmetic number, because the mean of its divisors is an integer number (9065490720).

Almost surely, 2481055035005 is an apocalyptic number.

481055035005 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

481055035005 is a deficient number, since it is larger than the sum of its proper divisors (389232074115).

481055035005 is a wasteful number, since it uses less digits than its factorization.

481055035005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6211 (or 6208 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 36.

Adding to 481055035005 its reverse (500530550184), we get a palindrome (981585585189).

The spelling of 481055035005 in words is "four hundred eighty-one billion, fifty-five million, thirty-five thousand, five".

Divisors: 1 3 5 9 15 31 45 93 109 155 279 327 465 545 577 981 1395 1635 1731 2885 3379 4905 5193 5483 8655 10137 16449 16895 17887 25965 27415 30411 49347 50685 53661 62893 82245 89435 152055 160983 169973 188679 246735 268305 314465 509919 566037 597647 804915 849865 943395 1529757 1792941 1949683 2549595 2830185 2988235 3163691 5378823 5849049 7648785 8964705 9491073 9748415 15818455 17547147 18527057 26894115 28473219 29245245 47455365 55581171 87735735 92635285 98074421 142366095 166743513 277905855 294223263 344842319 490372105 833717565 882669789 1034526957 1471116315 1724211595 3103580871 4413348945 5172634785 10690111889 15517904355 32070335667 53450559445 96211007001 160351678335 481055035005