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540421554224 = 24193767770969
BaseRepresentation
bin1111101110100111010…
…00101000000000110000
31220122220220111102102102
413313103220220000300
532323240404213344
61052133301235532
754021102263246
oct7672350500060
91818826442372
10540421554224
11199211973462
12888a2102ba8
133bc6664a5b6
141c2297a6796
15e0ce639e4e
hex7dd3a28030

540421554224 has 80 divisors (see below), whose sum is σ = 1133652069600. Its totient is φ = 248699123712.

The previous prime is 540421554223. The next prime is 540421554259. The reversal of 540421554224 is 422455124045.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is not an unprimeable number, because it can be changed into a prime (540421554223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7579412 + ... + 7650380.

It is an arithmetic number, because the mean of its divisors is an integer number (14170650870).

Almost surely, 2540421554224 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 540421554224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566826034800).

540421554224 is an abundant number, since it is smaller than the sum of its proper divisors (593230515376).

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

540421554224 is a wasteful number, since it uses less digits than its factorization.

540421554224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71710 (or 71704 counting only the distinct ones).

The product of its (nonzero) digits is 256000, while the sum is 38.

Adding to 540421554224 its reverse (422455124045), we get a palindrome (962876678269).

The spelling of 540421554224 in words is "five hundred forty billion, four hundred twenty-one million, five hundred fifty-four thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 19 37 38 74 76 148 152 296 304 592 677 703 1354 1406 2708 2812 5416 5624 10832 11248 12863 25049 25726 50098 51452 70969 100196 102904 141938 200392 205808 283876 400784 475931 567752 951862 1135504 1348411 1903724 2625853 2696822 3807448 5251706 5393644 7614896 10503412 10787288 21006824 21574576 42013648 48046013 49891207 96092026 99782414 192184052 199564828 384368104 399129656 768736208 798259312 912874247 1777702481 1825748494 3555404962 3651496988 7110809924 7302993976 14221619848 14605987952 28443239696 33776347139 67552694278 135105388556 270210777112 540421554224