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21540224808 = 2333537126501
BaseRepresentation
bin10100000011111001…
…011011111100101000
32001121011201210111000
4110003321123330220
5323103244143213
613521225435000
71361533614144
oct240371337450
961534653430
1021540224808
119153993793
12421193ba60
132053811b6b
141084a9a224
158610adc73
hex503e5bf28

21540224808 has 128 divisors (see below), whose sum is σ = 61823865600. Its totient is φ = 6945120000.

The previous prime is 21540224749. The next prime is 21540224813. The reversal of 21540224808 is 80842204512.

21540224808 is a `hidden beast` number, since 2 + 1 + 5 + 402 + 248 + 0 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 799558 + ... + 826058.

It is an arithmetic number, because the mean of its divisors is an integer number (482998950).

Almost surely, 221540224808 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 21540224808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30911932800).

21540224808 is an abundant number, since it is smaller than the sum of its proper divisors (40283640792).

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

21540224808 is a wasteful number, since it uses less digits than its factorization.

21540224808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26640 (or 26630 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The spelling of 21540224808 in words is "twenty-one billion, five hundred forty million, two hundred twenty-four thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 53 54 71 72 106 108 142 159 212 213 216 284 318 424 426 477 568 636 639 852 954 1272 1278 1431 1704 1908 1917 2556 2862 3763 3816 3834 5112 5724 7526 7668 11289 11448 15052 15336 22578 26501 30104 33867 45156 53002 67734 79503 90312 101601 106004 135468 159006 203202 212008 238509 270936 318012 406404 477018 636024 715527 812808 954036 1404553 1431054 1881571 1908072 2809106 2862108 3763142 4213659 5618212 5644713 5724216 7526284 8427318 11236424 11289426 12640977 15052568 16854636 16934139 22578852 25281954 33709272 33868278 37922931 45157704 50563908 50802417 67736556 75845862 99723263 101127816 101604834 135473112 151691724 199446526 203209668 299169789 303383448 398893052 406419336 598339578 797786104 897509367 1196679156 1795018734 2393358312 2692528101 3590037468 5385056202 7180074936 10770112404 21540224808