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26873401344 = 21232518713
BaseRepresentation
bin11001000001110001…
…111001000000000000
32120100212001020022220
4121001301321000000
5420014042320334
620202342131040
71640643066606
oct310161710000
976325036286
1026873401344
11104403751a9
12525ba20a80
1326c36b631a
14142d0c9876
15a743c9449
hex641c79000

26873401344 has 104 divisors (see below), whose sum is σ = 71947384992. Its totient is φ = 8921088000.

The previous prime is 26873401301. The next prime is 26873401349. The reversal of 26873401344 is 44310437862.

It is a junction number, because it is equal to n+sod(n) for n = 26873401296 and 26873401305.

It is not an unprimeable number, because it can be changed into a prime (26873401349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3079932 + ... + 3088644.

Almost surely, 226873401344 is an apocalyptic number.

26873401344 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 26873401344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35973692496).

26873401344 is an abundant number, since it is smaller than the sum of its proper divisors (45073983648).

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

26873401344 is an equidigital number, since it uses as much as digits as its factorization.

26873401344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8991 (or 8969 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 42.

The spelling of 26873401344 in words is "twenty-six billion, eight hundred seventy-three million, four hundred one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 251 256 384 502 512 753 768 1004 1024 1506 1536 2008 2048 3012 3072 4016 4096 6024 6144 8032 8713 12048 12288 16064 17426 24096 26139 32128 34852 48192 52278 64256 69704 96384 104556 128512 139408 192768 209112 257024 278816 385536 418224 514048 557632 771072 836448 1028096 1115264 1542144 1672896 2186963 2230528 3084288 3345792 4373926 4461056 6560889 6691584 8747852 8922112 13121778 13383168 17495704 17844224 26243556 26766336 34991408 35688448 52487112 53532672 69982816 104974224 107065344 139965632 209948448 279931264 419896896 559862528 839793792 1119725056 1679587584 2239450112 3359175168 4478900224 6718350336 8957800448 13436700672 26873401344