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20424049056 = 2532257275941
BaseRepresentation
bin10011000001010111…
…100100000110100000
31221201101110012012100
4103001113210012200
5313312024032211
613214354130400
71322061360345
oct230127440640
957641405170
1020424049056
118730930394
123b5bb80a00
131c064b9638
14dba74a7cc
157e80d0156
hex4c15e41a0

20424049056 has 72 divisors (see below), whose sum is σ = 58307096484. Its totient is φ = 6781501440.

The previous prime is 20424049049. The next prime is 20424049103. The reversal of 20424049056 is 65094042402.

It can be written as a sum of positive squares in 2 ways, for example, as 19762736400 + 661312656 = 140580^2 + 25716^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×204240490562 (a number of 21 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 20424049056.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 63955 + ... + 211986.

Almost surely, 220424049056 is an apocalyptic number.

It is an amenable number.

20424049056 is an abundant number, since it is smaller than the sum of its proper divisors (37883047428).

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

20424049056 is a wasteful number, since it uses less digits than its factorization.

20424049056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276214 (or 276203 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 20424049056 in words is "twenty billion, four hundred twenty-four million, forty-nine thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 257 288 514 771 1028 1542 2056 2313 3084 4112 4626 6168 8224 9252 12336 18504 24672 37008 74016 275941 551882 827823 1103764 1655646 2207528 2483469 3311292 4415056 4966938 6622584 8830112 9933876 13245168 19867752 26490336 39735504 70916837 79471008 141833674 212750511 283667348 425501022 567334696 638251533 851002044 1134669392 1276503066 1702004088 2269338784 2553006132 3404008176 5106012264 6808016352 10212024528 20424049056