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24442134424525 = 5213756411265093
BaseRepresentation
bin1011000111010111000001…
…01111010110101111001101
310012112122102101002010002101
411203223200233112233031
511200424442403041100
6123552321143155101
75101612606440616
oct543534057265715
9105478371063071
1024442134424525
11787393a74a854
1228a9071445a91
131083b63a51a3c
146070115b8c0d
152c5be17d886a
hex163ae0bd6bcd

24442134424525 has 24 divisors (see below), whose sum is σ = 30534910968744. Its totient is φ = 19407523353600.

The previous prime is 24442134424523. The next prime is 24442134424577. The reversal of 24442134424525 is 52542443124442.

It can be written as a sum of positive squares in 12 ways, for example, as 4316529795876 + 20125604628649 = 2077626^2 + 4486157^2 .

It is not a de Polignac number, because 24442134424525 - 21 = 24442134424523 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24442134424523) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18687879 + ... + 19952971.

It is an arithmetic number, because the mean of its divisors is an integer number (1272287957031).

Almost surely, 224442134424525 is an apocalyptic number.

24442134424525 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

24442134424525 is a deficient number, since it is larger than the sum of its proper divisors (6092776544219).

24442134424525 is a wasteful number, since it uses less digits than its factorization.

24442134424525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1270881 (or 1270876 counting only the distinct ones).

The product of its digits is 4915200, while the sum is 46.

Adding to 24442134424525 its reverse (52542443124442), we get a palindrome (76984577548967).

The spelling of 24442134424525 in words is "twenty-four trillion, four hundred forty-two billion, one hundred thirty-four million, four hundred twenty-four thousand, five hundred twenty-five".

Divisors: 1 5 25 137 685 3425 5641 28205 141025 772817 1265093 3864085 6325465 19320425 31627325 173317741 866588705 4332943525 7136389613 35681948065 178409740325 977685376981 4888426884905 24442134424525