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20341360128 = 29315798387
BaseRepresentation
bin10010111100011100…
…001000011000000000
31221111121212011022110
4102330130020120000
5313124342011003
613202241535320
71320035464635
oct227434103000
957447764273
1020341360128
118699192a31
123b38344540
131bc232738b
14dad78418c
157e0be9a03
hex4bc708600

20341360128 has 80 divisors (see below), whose sum is σ = 54231439680. Its totient is φ = 6775351296.

The previous prime is 20341360051. The next prime is 20341360129. The reversal of 20341360128 is 82106314302.

It is a junction number, because it is equal to n+sod(n) for n = 20341360095 and 20341360104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20341360129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2421151 + ... + 2429537.

It is an arithmetic number, because the mean of its divisors is an integer number (677892996).

Almost surely, 220341360128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20341360128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27115719840).

20341360128 is an abundant number, since it is smaller than the sum of its proper divisors (33890079552).

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

20341360128 is an equidigital number, since it uses as much as digits as its factorization.

20341360128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9987 (or 9971 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The spelling of 20341360128 in words is "twenty billion, three hundred forty-one million, three hundred sixty thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1536 1579 3158 4737 6316 8387 9474 12632 16774 18948 25161 25264 33548 37896 50322 50528 67096 75792 100644 101056 134192 151584 201288 202112 268384 303168 402576 404224 536768 606336 805152 808448 1073536 1212672 1610304 2147072 2425344 3220608 4294144 6441216 12882432 13243073 26486146 39729219 52972292 79458438 105944584 158916876 211889168 317833752 423778336 635667504 847556672 1271335008 1695113344 2542670016 3390226688 5085340032 6780453376 10170680064 20341360128