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20204422144 = 210412691789
BaseRepresentation
bin10010110100010001…
…110000010000000000
31221011002011222201021
4102310101300100000
5312334313002034
613140510515224
71313453516554
oct226421602000
957132158637
1020204422144
118628962445
123aba505b14
131b9cb4c99a
14d994d9864
157d3b9a6b4
hex4b4470400

20204422144 has 88 divisors (see below), whose sum is σ = 41551234200. Its totient is φ = 9813688320.

The previous prime is 20204422129. The next prime is 20204422163. The reversal of 20204422144 is 44122440202.

It can be written as a sum of positive squares in 4 ways, for example, as 298598400 + 19905823744 = 17280^2 + 141088^2 .

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, 11292802 + ... + 11294590.

Almost surely, 220204422144 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 20204422144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20775617100).

20204422144 is an abundant number, since it is smaller than the sum of its proper divisors (21346812056).

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

20204422144 is a wasteful number, since it uses less digits than its factorization.

20204422144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2119 (or 2101 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 25.

Adding to 20204422144 its reverse (44122440202), we get a palindrome (64326862346).

The spelling of 20204422144 in words is "twenty billion, two hundred four million, four hundred twenty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 41 64 82 128 164 256 269 328 512 538 656 1024 1076 1312 1789 2152 2624 3578 4304 5248 7156 8608 10496 11029 14312 17216 20992 22058 28624 34432 41984 44116 57248 68864 73349 88232 114496 137728 146698 176464 228992 275456 293396 352928 457984 481241 586792 705856 915968 962482 1173584 1411712 1831936 1924964 2347168 2823424 3849928 4694336 5646848 7699856 9388672 11293696 15399712 18777344 19730881 30799424 37554688 39461762 61598848 75109376 78923524 123197696 157847048 246395392 315694096 492790784 631388192 1262776384 2525552768 5051105536 10102211072 20204422144