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24920403424 = 2572922317203
BaseRepresentation
bin10111001101010111…
…110010110111100000
32101022202010122211121
4113031113302313200
5402014110402144
615240454422024
71541356635250
oct271527626740
971282118747
1024920403424
11a628a10a34
1249b5961914
132471bb7957
1412c5987960
159acbed384
hex5cd5f2de0

24920403424 has 96 divisors (see below), whose sum is σ = 58267883520. Its totient is φ = 10265052672.

The previous prime is 24920403419. The next prime is 24920403499. The reversal of 24920403424 is 42430402942.

It is a self number, because there is not a number n which added to its sum of digits gives 24920403424.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1440007 + ... + 1457209.

It is an arithmetic number, because the mean of its divisors is an integer number (606957120).

Almost surely, 224920403424 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 24920403424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29133941760).

24920403424 is an abundant number, since it is smaller than the sum of its proper divisors (33347480096).

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

24920403424 is a wasteful number, since it uses less digits than its factorization.

24920403424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17472 (or 17464 counting only the distinct ones).

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

The spelling of 24920403424 in words is "twenty-four billion, nine hundred twenty million, four hundred three thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 112 116 203 223 224 232 406 446 464 812 892 928 1561 1624 1784 3122 3248 3568 6244 6467 6496 7136 12488 12934 17203 24976 25868 34406 45269 49952 51736 68812 90538 103472 120421 137624 181076 206944 240842 275248 362152 481684 498887 550496 724304 963368 997774 1448608 1926736 1995548 3492209 3836269 3853472 3991096 6984418 7672538 7982192 13968836 15345076 15964384 26853883 27937672 30690152 53707766 55875344 61380304 107415532 111251801 111750688 122760608 214831064 222503602 429662128 445007204 778762607 859324256 890014408 1557525214 1780028816 3115050428 3560057632 6230100856 12460201712 24920403424