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20109949440 = 29357374069
BaseRepresentation
bin10010101110101001…
…010111101000000000
31220220111102021112020
4102232221113220000
5312141121340230
613123254001440
71311225515130
oct225651275000
956814367466
1020109949440
11858a5a6729
123a92946280
131b863c2c89
14d8ab46ac0
157ca738810
hex4aea57a00

20109949440 has 160 divisors (see below), whose sum is σ = 73473333120. Its totient is φ = 4596547584.

The previous prime is 20109949393. The next prime is 20109949463. The reversal of 20109949440 is 4494990102.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 20109949392 and 20109949401.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 133275 + ... + 240794.

It is an arithmetic number, because the mean of its divisors is an integer number (459208332).

Almost surely, 220109949440 is an apocalyptic number.

20109949440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20109949440 is an abundant number, since it is smaller than the sum of its proper divisors (53363383680).

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

20109949440 is an equidigital number, since it uses as much as digits as its factorization.

20109949440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374102 (or 374086 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The spelling of 20109949440 in words is "twenty billion, one hundred nine million, nine hundred forty-nine thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 128 140 160 168 192 210 224 240 256 280 320 336 384 420 448 480 512 560 640 672 768 840 896 960 1120 1280 1344 1536 1680 1792 1920 2240 2560 2688 3360 3584 3840 4480 5376 6720 7680 8960 10752 13440 17920 26880 53760 374069 748138 1122207 1496276 1870345 2244414 2618483 2992552 3740690 4488828 5236966 5611035 5985104 7481380 7855449 8977656 10473932 11222070 11970208 13092415 14962760 15710898 17955312 20947864 22444140 23940416 26184830 29925520 31421796 35910624 39277245 41895728 44888280 47880832 52369660 59851040 62843592 71821248 78554490 83791456 89776560 95761664 104739320 119702080 125687184 143642496 157108980 167582912 179553120 191523328 209478640 239404160 251374368 287284992 314217960 335165824 359106240 418957280 478808320 502748736 574569984 628435920 670331648 718212480 837914560 957616640 1005497472 1256871840 1340663296 1436424960 1675829120 2010994944 2513743680 2872849920 3351658240 4021989888 5027487360 6703316480 10054974720 20109949440