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21805914096 = 24357376829
BaseRepresentation
bin10100010011101110…
…111101011111110000
32002021200200012200000
4110103232331133300
5324124303222341
614003440230000
71401241132401
oct242356753760
962250605600
1021805914096
11927a96300a
12428690b300
132096888865
1410ac09b9a8
158795918b6
hex513bbd7f0

21805914096 has 120 divisors (see below), whose sum is σ = 64154279280. Its totient is φ = 7168974336.

The previous prime is 21805914049. The next prime is 21805914101. The reversal of 21805914096 is 69041950812.

21805914096 is a `hidden beast` number, since 2 + 18 + 0 + 591 + 40 + 9 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 245410 + ... + 322238.

It is an arithmetic number, because the mean of its divisors is an integer number (534618994).

Almost surely, 221805914096 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 21805914096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32077139640).

21805914096 is an abundant number, since it is smaller than the sum of its proper divisors (42348365184).

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

21805914096 is an equidigital number, since it uses as much as digits as its factorization.

21805914096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76925 (or 76907 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 21805914096 in words is "twenty-one billion, eight hundred five million, nine hundred fourteen thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 73 81 108 144 146 162 216 219 243 292 324 432 438 486 584 648 657 876 972 1168 1296 1314 1752 1944 1971 2628 3504 3888 3942 5256 5913 7884 10512 11826 15768 17739 23652 31536 35478 47304 70956 76829 94608 141912 153658 230487 283824 307316 460974 614632 691461 921948 1229264 1382922 1843896 2074383 2765844 3687792 4148766 5531688 5608517 6223149 8297532 11063376 11217034 12446298 16595064 16825551 18669447 22434068 24892596 33190128 33651102 37338894 44868136 49785192 50476653 67302204 74677788 89736272 99570384 100953306 134604408 149355576 151429959 201906612 269208816 298711152 302859918 403813224 454289877 605719836 807626448 908579754 1211439672 1362869631 1817159508 2422879344 2725739262 3634319016 5451478524 7268638032 10902957048 21805914096