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21421118420 = 22513231204439
BaseRepresentation
bin10011111100110011…
…000101001111010100
32001021212121120020022
4103330303011033110
5322332301242140
613501332524312
71355556334202
oct237463051724
961255546208
1021421118420
1190a2732359
124199a80698
132034c3b900
141072d34072
158558d30b5
hex4fccc53d4

21421118420 has 72 divisors (see below), whose sum is σ = 50282426880. Its totient is φ = 7654158720.

The previous prime is 21421118417. The next prime is 21421118449. The reversal of 21421118420 is 2481112412.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 21421118420.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 2561 + ... + 206999.

It is an arithmetic number, because the mean of its divisors is an integer number (698367040).

Almost surely, 221421118420 is an apocalyptic number.

21421118420 is a gapful number since it is divisible by the number (20) 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 21421118420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25141213440).

21421118420 is an abundant number, since it is smaller than the sum of its proper divisors (28861308460).

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

21421118420 is a wasteful number, since it uses less digits than its factorization.

21421118420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204505 (or 204490 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 26.

The spelling of 21421118420 in words is "twenty-one billion, four hundred twenty-one million, one hundred eighteen thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 31 52 62 65 124 130 155 169 260 310 338 403 620 676 806 845 1612 1690 2015 3380 4030 5239 8060 10478 20956 26195 52390 104780 204439 408878 817756 1022195 2044390 2657707 4088780 5315414 6337609 10630828 12675218 13288535 25350436 26577070 31688045 34550191 53154140 63376090 69100382 82388917 126752180 138200764 164777834 172750955 329555668 345501910 411944585 691003820 823889170 1071055921 1647778340 2142111842 4284223684 5355279605 10710559210 21421118420