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54334247424 = 2931132291367
BaseRepresentation
bin110010100110100100…
…101101001000000000
312012020122110202100020
4302212210231020000
51342234031404144
640543311253440
73632311324422
oct624644551000
9165218422306
1054334247424
11210522a2316
12a64451a280
13517b9c0582
1428b6210812
151630141419
hexca692d200

54334247424 has 160 divisors (see below), whose sum is σ = 146775784320. Its totient is φ = 17859674112.

The previous prime is 54334247423. The next prime is 54334247437. The reversal of 54334247424 is 42474243345.

It is a super-4 number, since 4×543342474244 (a number of 44 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (54334247423) 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 15 ways as a sum of consecutive naturals, for example, 39746389 + ... + 39747755.

It is an arithmetic number, because the mean of its divisors is an integer number (917348652).

Almost surely, 254334247424 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 54334247424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73387892160).

54334247424 is an abundant number, since it is smaller than the sum of its proper divisors (92441536896).

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

54334247424 is a wasteful number, since it uses less digits than its factorization.

54334247424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1730 (or 1714 counting only the distinct ones).

The product of its digits is 1290240, while the sum is 42.

The spelling of 54334247424 in words is "fifty-four billion, three hundred thirty-four million, two hundred forty-seven thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 113 128 192 226 229 256 339 384 452 458 512 678 687 768 904 916 1356 1367 1374 1536 1808 1832 2712 2734 2748 3616 3664 4101 5424 5468 5496 7232 7328 8202 10848 10936 10992 14464 14656 16404 21696 21872 21984 25877 28928 29312 32808 43392 43744 43968 51754 57856 58624 65616 77631 86784 87488 87936 103508 117248 131232 154471 155262 173568 174976 175872 207016 262464 308942 310524 313043 349952 351744 414032 463413 524928 617884 621048 626086 699904 828064 926826 939129 1049856 1235768 1242096 1252172 1656128 1853652 1878258 2099712 2471536 2484192 2504344 3312256 3707304 3756516 4943072 4968384 5008688 6624512 7414608 7513032 9886144 9936768 10017376 13249024 14829216 15026064 19772288 19873536 20034752 29658432 30052128 35373859 39544576 39747072 40069504 59316864 60104256 70747718 79089152 80139008 106121577 118633728 120208512 141495436 160278016 212243154 237267456 240417024 282990872 424486308 480834048 565981744 848972616 1131963488 1697945232 2263926976 3395890464 4527853952 6791780928 9055707904 13583561856 18111415808 27167123712 54334247424