Search a number
-
+
20426255104 = 282341191443
BaseRepresentation
bin10011000001011111…
…111110101100000000
31221201112121021022211
4103001133332230000
5313313110130404
613214513311504
71322116206103
oct230137765400
957645537284
1020426255104
1187320a7872
123b60865594
131c06aac7a8
14dbab6273a
157e83b8b04
hex4c17feb00

20426255104 has 144 divisors (see below), whose sum is σ = 43910221824. Its totient is φ = 9459507200.

The previous prime is 20426255023. The next prime is 20426255107. The reversal of 20426255104 is 40155262402.

It is not an unprimeable number, because it can be changed into a prime (20426255107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46108707 + ... + 46109149.

It is an arithmetic number, because the mean of its divisors is an integer number (304932096).

Almost surely, 220426255104 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 20426255104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21955110912).

20426255104 is an abundant number, since it is smaller than the sum of its proper divisors (23483966720).

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

20426255104 is a wasteful number, since it uses less digits than its factorization.

20426255104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 714 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 31.

The spelling of 20426255104 in words is "twenty billion, four hundred twenty-six million, two hundred fifty-five thousand, one hundred four".

Divisors: 1 2 4 8 16 23 32 41 46 64 82 92 128 164 184 191 256 328 368 382 443 656 736 764 886 943 1312 1472 1528 1772 1886 2624 2944 3056 3544 3772 4393 5248 5888 6112 7088 7544 7831 8786 10189 10496 12224 14176 15088 15662 17572 18163 20378 24448 28352 30176 31324 35144 36326 40756 48896 56704 60352 62648 70288 72652 81512 84613 113408 120704 125296 140576 145304 163024 169226 180113 241408 250592 281152 290608 326048 338452 360226 417749 501184 562304 581216 652096 676904 720452 835498 1002368 1124608 1162432 1304192 1353808 1440904 1670996 1946099 2004736 2324864 2608384 2707616 2881808 3341992 3469133 3892198 4649728 5415232 5763616 6683984 6938266 7784396 10830464 11527232 13367968 13876532 15568792 21660928 23054464 26735936 27753064 31137584 46108928 53471872 55506128 62275168 79790059 106943744 111012256 124550336 159580118 222024512 249100672 319160236 444049024 498201344 638320472 888098048 1276640944 2553281888 5106563776 10213127552 20426255104