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20424000024 = 2332476035461
BaseRepresentation
bin10011000001010111…
…011000001000011000
31221201101100200221100
4103001113120020120
5313312021000044
613214353111400
71322061064401
oct230127301030
957641320840
1020424000024
1187308a756a
123b5bb58560
131c064a021c
14dba7369a8
157e80c0869
hex4c15d8218

20424000024 has 48 divisors (see below), whose sum is σ = 56491924320. Its totient is φ = 6663147840.

The previous prime is 20423999983. The next prime is 20424000029. The reversal of 20424000024 is 42000042402.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 20423999970 and 20424000006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20424000029) by changing a digit.

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, 3014347 + ... + 3021114.

It is an arithmetic number, because the mean of its divisors is an integer number (1176915090).

Almost surely, 220424000024 is an apocalyptic number.

20424000024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20424000024 is an abundant number, since it is smaller than the sum of its proper divisors (36067924296).

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

20424000024 is a wasteful number, since it uses less digits than its factorization.

20424000024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6035520 (or 6035513 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

Adding to 20424000024 its reverse (42000042402), we get a palindrome (62424042426).

The spelling of 20424000024 in words is "twenty billion, four hundred twenty-four million, twenty-four", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 9 12 18 24 36 47 72 94 141 188 282 376 423 564 846 1128 1692 3384 6035461 12070922 18106383 24141844 36212766 48283688 54319149 72425532 108638298 144851064 217276596 283666667 434553192 567333334 851000001 1134666668 1702000002 2269333336 2553000003 3404000004 5106000006 6808000008 10212000012 20424000024