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24063145129 = 61225432
BaseRepresentation
bin10110011010010001…
…100111010010101001
32022010000001102112101
4112122101213102221
5343240131121004
615015432413401
71511210234032
oct263221472251
968100042471
1024063145129
11a229022101
1247b6847261
132366407a1a
141243b95a89
1595c815ba4
hex59a4674a9

24063145129 has 9 divisors (see below), whose sum is σ = 24473713719. Its totient is φ = 23659359960.

The previous prime is 24063145121. The next prime is 24063145189. The reversal of 24063145129 is 92154136042.

It is a happy number.

The square root of 24063145129 is 155123.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 782488729 + 23280656400 = 27973^2 + 152580^2 .

It is not a de Polignac number, because 24063145129 - 23 = 24063145121 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (24063145121) 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 8 ways as a sum of consecutive naturals, for example, 9461232 + ... + 9463774.

Almost surely, 224063145129 is an apocalyptic number.

24063145129 is the 155123-rd square number.

24063145129 is the 77562-nd centered octagonal number.

It is an amenable number.

24063145129 is a deficient number, since it is larger than the sum of its proper divisors (410568590).

24063145129 is an frugal number, since it uses more digits than its factorization.

24063145129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5208 (or 2604 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 37.

The spelling of 24063145129 in words is "twenty-four billion, sixty-three million, one hundred forty-five thousand, one hundred twenty-nine".

Divisors: 1 61 2543 3721 155123 6466849 9462503 394477789 24063145129