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24322420625 = 54173892
BaseRepresentation
bin10110101001101110…
…101010111110010001
32022210001220222122112
4112221232222332101
5344303014430000
615101253515105
71520506110206
oct265156527621
968701828575
1024322420625
11a351410678
124869642a95
1323a8047289
14126a3a7cad
1597547d235
hex5a9baaf91

24322420625 has 60 divisors (see below), whose sum is σ = 32659405020. Its totient is φ = 18107584000.

The previous prime is 24322420597. The next prime is 24322420637. The reversal of 24322420625 is 52602422342.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 30 ways, for example, as 17346997264 + 6975423361 = 131708^2 + 83519^2 .

It is not a de Polignac number, because 24322420625 - 26 = 24322420561 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 24322420591 and 24322420600.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 273285581 + ... + 273285669.

It is an arithmetic number, because the mean of its divisors is an integer number (544323417).

Almost surely, 224322420625 is an apocalyptic number.

24322420625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

24322420625 is a deficient number, since it is larger than the sum of its proper divisors (8336984395).

24322420625 is an frugal number, since it uses more digits than its factorization.

24322420625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 32.

Adding to 24322420625 its reverse (52602422342), we get a palindrome (76924842967).

The spelling of 24322420625 in words is "twenty-four billion, three hundred twenty-two million, four hundred twenty thousand, six hundred twenty-five".

Divisors: 1 5 17 25 85 89 125 289 425 445 625 1445 1513 2125 2225 4913 7225 7565 7921 10625 11125 24565 25721 36125 37825 39605 55625 122825 128605 134657 180625 189125 198025 437257 614125 643025 673285 945625 990125 2186285 2289169 3070625 3215125 3366425 4950625 10931425 11445845 16075625 16832125 38915873 54657125 57229225 84160625 194579365 273285625 286146125 972896825 1430730625 4864484125 24322420625