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20404408336 = 24132412672
BaseRepresentation
bin10011000000001100…
…101001000000010000
31221200000111100012021
4103000030221000100
5313242012031321
613212413141224
71321432415644
oct230014510020
957600440167
1020404408336
118720835a94
123b5548a814
131c02400900
14db7cb6c24
157e6500941
hex4c0329010

20404408336 has 135 divisors (see below), whose sum is σ = 44542756503. Its totient is φ = 9050595840.

The previous prime is 20404408273. The next prime is 20404408337. The reversal of 20404408336 is 63380440402.

The square root of 20404408336 is 142844.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 13590896400 + 6813511936 = 116580^2 + 82544^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20404408337) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 304543375 + ... + 304543441.

Almost surely, 220404408336 is an apocalyptic number.

20404408336 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

20404408336 is the 142844-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20404408336

20404408336 is an abundant number, since it is smaller than the sum of its proper divisors (24138348167).

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

20404408336 is an equidigital number, since it uses as much as digits as its factorization.

20404408336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 34.

Adding to 20404408336 its reverse (63380440402), we get a palindrome (83784848738).

The spelling of 20404408336 in words is "twenty billion, four hundred four million, four hundred eight thousand, three hundred thirty-six".

Divisors: 1 2 4 8 13 16 26 41 52 67 82 104 134 164 169 208 268 328 338 533 536 656 676 871 1066 1072 1352 1681 1742 2132 2704 2747 3362 3484 4264 4489 5494 6724 6929 6968 8528 8978 10988 11323 13448 13858 13936 17956 21853 21976 22646 26896 27716 35711 35912 43706 43952 45292 55432 58357 71422 71824 87412 90584 110864 112627 116714 142844 174824 181168 184049 225254 233428 284089 285688 349648 368098 450508 464243 466856 568178 571376 736196 758641 901016 928486 933712 1136356 1464151 1472392 1517282 1802032 1856972 2272712 2392637 2928302 2944784 3034564 3713944 4545424 4785274 5856604 6069128 7427888 7546009 9570548 11713208 12138256 15092018 19033963 19141096 23426416 30184036 31104281 38067926 38282192 60368072 62208562 76135852 98098117 120736144 124417124 152271704 196196234 248834248 304543408 392392468 497668496 784784936 1275275521 1569569872 2550551042 5101102084 10202204168 20404408336