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21726414112 = 2513293178249
BaseRepresentation
bin10100001110111111…
…101100010100100000
32002002011002012012011
4110032333230110200
5323443430222422
613551520242304
71366254321124
oct241677542440
962064065164
1021726414112
119239aa3547
124264170394
132083271c50
1410a16c5584
158725db077
hex50efec520

21726414112 has 48 divisors (see below), whose sum is σ = 46221651000. Its totient is φ = 9993295872.

The previous prime is 21726414109. The next prime is 21726414121. The reversal of 21726414112 is 21141462712.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 21716148496 + 10265616 = 147364^2 + 3204^2 .

It is a super-2 number, since 2×217264141122 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 32764 + ... + 211012.

Almost surely, 221726414112 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 21726414112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23110825500).

21726414112 is an abundant number, since it is smaller than the sum of its proper divisors (24495236888).

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

21726414112 is a wasteful number, since it uses less digits than its factorization.

21726414112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178565 (or 178557 counting only the distinct ones).

The product of its digits is 5376, while the sum is 31.

Adding to 21726414112 its reverse (21141462712), we get a palindrome (42867876824).

The spelling of 21726414112 in words is "twenty-one billion, seven hundred twenty-six million, four hundred fourteen thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 293 416 586 1172 2344 3809 4688 7618 9376 15236 30472 60944 121888 178249 356498 712996 1425992 2317237 2851984 4634474 5703968 9268948 18537896 37075792 52226957 74151584 104453914 208907828 417815656 678950441 835631312 1357900882 1671262624 2715801764 5431603528 10863207056 21726414112