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21688580410 = 257266532
BaseRepresentation
bin10100001100101111…
…010111100100111010
32001222111220001002221
4110030233113210322
5323404234033120
613544045314254
71365314614600
oct241457274472
961874801087
1021688580410
11921a702522
12425356598a
132078486443
14109a677870
1586e1160aa
hex50cbd793a

21688580410 has 36 divisors (see below), whose sum is σ = 45420058638. Its totient is φ = 7434967008.

The previous prime is 21688580377. The next prime is 21688580429. The reversal of 21688580410 is 1408588612.

It can be written as a sum of positive squares in 3 ways, for example, as 4588572121 + 17100008289 = 67739^2 + 130767^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3256644 + ... + 3263296.

Almost surely, 221688580410 is an apocalyptic number.

21688580410 is an abundant number, since it is smaller than the sum of its proper divisors (23731478228).

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

21688580410 is an frugal number, since it uses more digits than its factorization.

21688580410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13327 (or 6667 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 43.

The spelling of 21688580410 in words is "twenty-one billion, six hundred eighty-eight million, five hundred eighty thousand, four hundred ten".

Divisors: 1 2 5 7 10 14 35 49 70 98 245 490 6653 13306 33265 46571 66530 93142 232855 325997 465710 651994 1629985 3259970 44262409 88524818 221312045 309836863 442624090 619673726 1549184315 2168858041 3098368630 4337716082 10844290205 21688580410