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20444242432 = 29172348833
BaseRepresentation
bin10011000010100100…
…100110001000000000
31221202210110010022011
4103002210212020000
5313332211224212
613220355022304
71322425123225
oct230244461000
957683403264
1020444242432
118741272a29
123b6689a994
131c0a739a93
14dbd2c594c
157e9c6d4a7
hex4c2926200

20444242432 has 40 divisors (see below), whose sum is σ = 43251429276. Its totient is φ = 9620815872.

The previous prime is 20444242411. The next prime is 20444242447. The reversal of 20444242432 is 23424244402.

It can be written as a sum of positive squares in 2 ways, for example, as 18674862336 + 1769380096 = 136656^2 + 42064^2 .

It is a junction number, because it is equal to n+sod(n) for n = 20444242394 and 20444242403.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1165713 + ... + 1183120.

Almost surely, 220444242432 is an apocalyptic number.

It is an amenable number.

20444242432 is an abundant number, since it is smaller than the sum of its proper divisors (22807186844).

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

20444242432 is an equidigital number, since it uses as much as digits as its factorization.

20444242432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2348868 (or 2348852 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 31.

Adding to 20444242432 its reverse (23424244402), we get a palindrome (43868486834).

The spelling of 20444242432 in words is "twenty billion, four hundred forty-four million, two hundred forty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 512 544 1088 2176 4352 8704 2348833 4697666 9395332 18790664 37581328 39930161 75162656 79860322 150325312 159720644 300650624 319441288 601301248 638882576 1202602496 1277765152 2555530304 5111060608 10222121216 20444242432