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520127331024 = 243741346110909
BaseRepresentation
bin1111001000110100000…
…00010011101011010000
31211201112120100001211010
413210122000103223100
532010210044043044
61034535421450520
752402145236620
oct7443200235320
91751476301733
10520127331024
11190648356174
1284979710a40
133a0810183c2
141b2623b2880
15d7e2b51bb9
hex791a013ad0

520127331024 has 160 divisors (see below), whose sum is σ = 1573666778880. Its totient is φ = 144928051200.

The previous prime is 520127331007. The next prime is 520127331067. The reversal of 520127331024 is 420133721025.

It is a junction number, because it is equal to n+sod(n) for n = 520127330982 and 520127331000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47673282 + ... + 47684190.

It is an arithmetic number, because the mean of its divisors is an integer number (9835417368).

Almost surely, 2520127331024 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 520127331024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (786833389440).

520127331024 is an abundant number, since it is smaller than the sum of its proper divisors (1053539447856).

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

520127331024 is a wasteful number, since it uses less digits than its factorization.

520127331024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14429 (or 14423 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The spelling of 520127331024 in words is "five hundred twenty billion, one hundred twenty-seven million, three hundred thirty-one thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 41 42 48 56 82 84 112 123 164 168 246 287 328 336 492 574 656 861 984 1148 1722 1968 2296 3444 3461 4592 6888 6922 10383 10909 13776 13844 20766 21818 24227 27688 32727 41532 43636 48454 55376 65454 72681 76363 83064 87272 96908 130908 141901 145362 152726 166128 174544 193816 229089 261816 283802 290724 305452 387632 425703 447269 458178 523632 567604 581448 610904 851406 894538 916356 993307 1135208 1162896 1221808 1341807 1702812 1789076 1832712 1986614 2270416 2683614 2979921 3130883 3405624 3578152 3665424 3973228 5367228 5959842 6261766 6811248 7156304 7946456 9392649 10734456 11919684 12523532 15892912 18785298 21468912 23839368 25047064 37570596 37756049 47678736 50094128 75141192 75512098 113268147 150282384 151024196 226536294 264292343 302048392 453072588 528584686 604096784 792877029 906145176 1057169372 1547998009 1585754058 1812290352 2114338744 3095996018 3171508116 4228677488 4643994027 6191992036 6343016232 9287988054 10835986063 12383984072 12686032464 18575976108 21671972126 24767968144 32507958189 37151952216 43343944252 65015916378 74303904432 86687888504 130031832756 173375777008 260063665512 520127331024