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24442400020 = 2252942142069
BaseRepresentation
bin10110110000111000…
…010110110100010100
32100002102200120102211
4112300320112310110
5400024223300040
615121221243204
71523463654313
oct266070266424
970072616384
1024442400020
11a4031089a5
1248a1863504
1323c6b649bc
14127c2ba27a
15980c7c8ea
hex5b0e16d14

24442400020 has 24 divisors (see below), whose sum is σ = 53099008200. Its totient is φ = 9439823232.

The previous prime is 24442400011. The next prime is 24442400039. The reversal of 24442400020 is 2000424442.

It can be written as a sum of positive squares in 4 ways, for example, as 2491607056 + 21950792964 = 49916^2 + 148158^2 .

It is a junction number, because it is equal to n+sod(n) for n = 24442399964 and 24442400000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21070455 + ... + 21071614.

It is an arithmetic number, because the mean of its divisors is an integer number (2212458675).

Almost surely, 224442400020 is an apocalyptic number.

24442400020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

24442400020 is an abundant number, since it is smaller than the sum of its proper divisors (28656608180).

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

24442400020 is a wasteful number, since it uses less digits than its factorization.

24442400020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42142107 (or 42142105 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 22.

Adding to 24442400020 its reverse (2000424442), we get a palindrome (26442824462).

The spelling of 24442400020 in words is "twenty-four billion, four hundred forty-two million, four hundred thousand, twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 42142069 84284138 168568276 210710345 421420690 842841380 1222120001 2444240002 4888480004 6110600005 12221200010 24442400020