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20107444224 = 2143758441
BaseRepresentation
bin10010101110011111…
…110100000000000000
31220220022201000000110
4102232133310000000
5312140001203344
613123124151320
71311165312240
oct225637640000
956808630013
1020107444224
1185891454aa
123a91b38540
131b85a268ba
14d8a693b20
157ca3e13b9
hex4ae7f4000

20107444224 has 120 divisors (see below), whose sum is σ = 61279008448. Its totient is φ = 5744885760.

The previous prime is 20107444151. The next prime is 20107444237. The reversal of 20107444224 is 42244470102.

It is a junction number, because it is equal to n+sod(n) for n = 20107444191 and 20107444200.

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, 314844 + ... + 373284.

Almost surely, 220107444224 is an apocalyptic number.

20107444224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20107444224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30639504224).

20107444224 is an abundant number, since it is smaller than the sum of its proper divisors (41171564224).

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

20107444224 is an frugal number, since it uses more digits than its factorization.

20107444224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58479 (or 58453 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 30.

The spelling of 20107444224 in words is "twenty billion, one hundred seven million, four hundred forty-four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 1024 1344 1536 1792 2048 2688 3072 3584 4096 5376 6144 7168 8192 10752 12288 14336 16384 21504 24576 28672 43008 49152 57344 58441 86016 114688 116882 172032 175323 233764 344064 350646 409087 467528 701292 818174 935056 1227261 1402584 1636348 1870112 2454522 2805168 3272696 3740224 4909044 5610336 6545392 7480448 9818088 11220672 13090784 14960896 19636176 22441344 26181568 29921792 39272352 44882688 52363136 59843584 78544704 89765376 104726272 119687168 157089408 179530752 209452544 239374336 314178816 359061504 418905088 478748672 628357632 718123008 837810176 957497344 1256715264 1436246016 1675620352 2513430528 2872492032 3351240704 5026861056 6702481408 10053722112 20107444224