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21671091008 = 2672514392
BaseRepresentation
bin10100001011101100…
…101001101101000000
32001221021222111011022
4110023230221231000
5323340244403013
613542222405012
71365013143230
oct241354515500
961837874138
1021671091008
119210847476
124249730768
132074971998
141098203cc0
1586c80e008
hex50bb29b40

21671091008 has 84 divisors (see below), whose sum is σ = 49455397152. Its totient is φ = 9229536000.

The previous prime is 21671090999. The next prime is 21671091059. The reversal of 21671091008 is 80019017612.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 49364453 + ... + 49364891.

It is an arithmetic number, because the mean of its divisors is an integer number (588754728).

Almost surely, 221671091008 is an apocalyptic number.

21671091008 is a gapful number since it is divisible by the number (28) 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 21671091008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24727698576).

21671091008 is an abundant number, since it is smaller than the sum of its proper divisors (27784306144).

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

21671091008 is an frugal number, since it uses more digits than its factorization.

21671091008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1148 (or 699 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 35.

The spelling of 21671091008 in words is "twenty-one billion, six hundred seventy-one million, ninety-one thousand, eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 251 439 448 502 878 1004 1756 1757 2008 3073 3512 3514 4016 6146 7024 7028 8032 12292 14048 14056 16064 24584 28096 28112 49168 56224 98336 110189 112448 192721 196672 220378 385442 440756 770884 771323 881512 1349047 1541768 1542646 1763024 2698094 3083536 3085292 3526048 5396188 6167072 6170584 7052096 10792376 12334144 12341168 21584752 24682336 43169504 48372971 49364672 86339008 96745942 193491884 338610797 386983768 677221594 773967536 1354443188 1547935072 2708886376 3095870144 5417772752 10835545504 21671091008