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22424064129 = 322491562681
BaseRepresentation
bin10100111000100101…
…000001000010000001
32010212202211111002200
4110320211001002001
5331411030023004
614145041303413
71422455254155
oct247045010201
963782744080
1022424064129
119567888305
124419934b69
13216496a7cc
14112a20b065
158b3997239
hex538941081

22424064129 has 6 divisors (see below), whose sum is σ = 32390314866. Its totient is φ = 14949376080.

The previous prime is 22424064083. The next prime is 22424064167. The reversal of 22424064129 is 92146042422.

22424064129 is a `hidden beast` number, since 2 + 2 + 4 + 2 + 4 + 0 + 641 + 2 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 21162393729 + 1261670400 = 145473^2 + 35520^2 .

It is not a de Polignac number, because 22424064129 - 211 = 22424062081 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 22424064093 and 22424064102.

It is not an unprimeable number, because it can be changed into a prime (22424064029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1245781332 + ... + 1245781349.

It is an arithmetic number, because the mean of its divisors is an integer number (5398385811).

Almost surely, 222424064129 is an apocalyptic number.

It is an amenable number.

22424064129 is a deficient number, since it is larger than the sum of its proper divisors (9966250737).

22424064129 is a wasteful number, since it uses less digits than its factorization.

22424064129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2491562687 (or 2491562684 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

It can be divided in two parts, 224240 and 64129, that added together give a square (288369 = 5372).

The spelling of 22424064129 in words is "twenty-two billion, four hundred twenty-four million, sixty-four thousand, one hundred twenty-nine".

Divisors: 1 3 9 2491562681 7474688043 22424064129