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13535521020 = 22325718315867
BaseRepresentation
bin11001001101100011…
…11010100011111100
31021221022110201012100
430212301322203330
5210210043133040
610115041105100
7656265013260
oct144661724374
937838421170
1013535521020
1158164a330a
122759028190
131379312a48
1492592a0a0
15543484b30
hex326c7a8fc

13535521020 has 144 divisors (see below), whose sum is σ = 46956768768. Its totient is φ = 3091616640.

The previous prime is 13535520997. The next prime is 13535521031. The reversal of 13535521020 is 2012553531.

It is a happy number.

13535521020 is a `hidden beast` number, since 1 + 3 + 5 + 3 + 552 + 102 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2304127 + ... + 2309993.

It is an arithmetic number, because the mean of its divisors is an integer number (326088672).

Almost surely, 213535521020 is an apocalyptic number.

13535521020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13535521020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23478384384).

13535521020 is an abundant number, since it is smaller than the sum of its proper divisors (33421247748).

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

13535521020 is a wasteful number, since it uses less digits than its factorization.

13535521020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7720 (or 7715 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The spelling of 13535521020 in words is "thirteen billion, five hundred thirty-five million, five hundred twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 1831 3662 5493 5867 7324 9155 10986 11734 12817 16479 17601 18310 21972 23468 25634 27465 29335 32958 35202 36620 38451 41069 51268 52803 54930 58670 64085 65916 70404 76902 82138 82395 88005 105606 109860 115353 117340 123207 128170 153804 164276 164790 176010 192255 205345 211212 230706 246414 256340 264015 329580 352020 369621 384510 410690 461412 492828 528030 576765 616035 739242 769020 821380 1056060 1153530 1232070 1478484 1848105 2307060 2464140 3696210 7392420 10742477 21484954 32227431 42969908 53712385 64454862 75197339 96682293 107424770 128909724 150394678 161137155 193364586 214849540 225592017 300789356 322274310 375986695 386729172 451184034 483411465 644548620 676776051 751973390 902368068 966822930 1127960085 1353552102 1503946780 1933645860 2255920170 2707104204 3383880255 4511840340 6767760510 13535521020