Search a number
-
+
21183648393 = 3231018393623
BaseRepresentation
bin10011101110101001…
…001101001010001001
32000200022202211121010
4103232221031022021
5321341003222033
613422011034133
71346644016565
oct235651151211
960608684533
1021183648393
118a90687636
12413243b949
131cc79954bb
14104d59a6a5
1583eb26863
hex4eea4d289

21183648393 has 32 divisors (see below), whose sum is σ = 29808414720. Its totient is φ = 13355038400.

The previous prime is 21183648389. The next prime is 21183648449. The reversal of 21183648393 is 39384638112.

It is a cyclic number.

It is not a de Polignac number, because 21183648393 - 22 = 21183648389 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (21183640393) 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 31 ways as a sum of consecutive naturals, for example, 5845180 + ... + 5848802.

It is an arithmetic number, because the mean of its divisors is an integer number (931512960).

Almost surely, 221183648393 is an apocalyptic number.

21183648393 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

21183648393 is a deficient number, since it is larger than the sum of its proper divisors (8624766327).

21183648393 is a wasteful number, since it uses less digits than its factorization.

21183648393 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4589.

The product of its digits is 746496, while the sum is 48.

The spelling of 21183648393 in words is "twenty-one billion, one hundred eighty-three million, six hundred forty-eight thousand, three hundred ninety-three".

Divisors: 1 3 23 69 101 303 839 2323 2517 3623 6969 10869 19297 57891 83329 84739 249987 254217 365923 1097769 1948997 3039697 5846991 8416229 9119091 25248687 69913031 209739093 307009397 921028191 7061216131 21183648393