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540250054224 = 24331719504967
BaseRepresentation
bin1111101110010010110…
…10011001111001010000
31220122110221210022122120
413313021122121321100
532322413003213344
61052104253334240
754013620456246
oct7671132317120
91818427708576
10540250054224
11199134086a21
1288854797380
133bc39c615ca
141c210ac2796
15e0be560219
hex7dc9699e50

540250054224 has 80 divisors (see below), whose sum is σ = 1442673377280. Its totient is φ = 174031482240.

The previous prime is 540250054217. The next prime is 540250054241. The reversal of 540250054224 is 422450052045.

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, 817389 + ... + 1322355.

It is an arithmetic number, because the mean of its divisors is an integer number (18033417216).

Almost surely, 2540250054224 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 540250054224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (721336688640).

540250054224 is an abundant number, since it is smaller than the sum of its proper divisors (902423323056).

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

540250054224 is a wasteful number, since it uses less digits than its factorization.

540250054224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505728 (or 505722 counting only the distinct ones).

The product of its (nonzero) digits is 64000, while the sum is 33.

The spelling of 540250054224 in words is "five hundred forty billion, two hundred fifty million, fifty-four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 186 248 372 496 719 744 1438 1488 2157 2876 4314 5752 8628 11504 17256 22289 34512 44578 66867 89156 133734 178312 267468 356624 504967 534936 1009934 1069872 1514901 2019868 3029802 4039736 6059604 8079472 12119208 15653977 24238416 31307954 46961931 62615908 93923862 125231816 187847724 250463632 363071273 375695448 726142546 751390896 1089213819 1452285092 2178427638 2904570184 4356855276 5809140368 8713710552 11255209463 17427421104 22510418926 33765628389 45020837852 67531256778 90041675704 135062513556 180083351408 270125027112 540250054224