Search a number
-
+
30565104804 = 223213577113189
BaseRepresentation
bin11100011101110100…
…100111110010100100
32220220010122012102200
4130131310213302210
51000044131323204
622012540134500
72131301050503
oct343564476244
986803565380
1030565104804
1111a652286a3
125b10237430
132b61493840
14169d50a83a
15bdd552539
hex71dd27ca4

30565104804 has 72 divisors (see below), whose sum is σ = 83349946680. Its totient is φ = 9388265472.

The previous prime is 30565104793. The next prime is 30565104827. The reversal of 30565104804 is 40840156503.

It is a happy number.

30565104804 is a `hidden beast` number, since 3 + 0 + 565 + 10 + 4 + 80 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7165283904 + 23399820900 = 84648^2 + 152970^2 .

It is a super-4 number, since 4×305651048044 (a number of 43 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 213442 + ... + 326630.

Almost surely, 230565104804 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 30565104804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41674973340).

30565104804 is an abundant number, since it is smaller than the sum of its proper divisors (52784841876).

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

30565104804 is a wasteful number, since it uses less digits than its factorization.

30565104804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113789 (or 113784 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 30565104804 in words is "thirty billion, five hundred sixty-five million, one hundred four thousand, eight hundred four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 577 1154 1731 2308 3462 5193 6924 7501 10386 15002 20772 22503 30004 45006 67509 90012 113189 135018 226378 270036 339567 452756 679134 1018701 1358268 1471457 2037402 2942914 4074804 4414371 5885828 8828742 13243113 17657484 26486226 52972452 65310053 130620106 195930159 261240212 391860318 587790477 783720636 849030689 1175580954 1698061378 2351161908 2547092067 3396122756 5094184134 7641276201 10188368268 15282552402 30565104804