Search a number
-
+
13535243520 = 28356752609
BaseRepresentation
bin11001001101100001…
…10110110100000000
31021221021221121112120
430212300312310000
5210210010243040
610115031124240
7656262446241
oct144660666400
937837847476
1013535243520
115816323877
122758b13680
131379246646
14925896cc8
1554342c7d0
hex326c36d00

13535243520 has 144 divisors (see below), whose sum is σ = 43874214720. Its totient is φ = 3555459072.

The previous prime is 13535243479. The next prime is 13535243539. The reversal of 13535243520 is 2534253531.

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, 230976 + ... + 283584.

Almost surely, 213535243520 is an apocalyptic number.

13535243520 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 13535243520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21937107360).

13535243520 is an abundant number, since it is smaller than the sum of its proper divisors (30338971200).

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

13535243520 is an equidigital number, since it uses as much as digits as its factorization.

13535243520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52700 (or 52686 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 33.

The spelling of 13535243520 in words is "thirteen billion, five hundred thirty-five million, two hundred forty-three thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 67 80 96 120 128 134 160 192 201 240 256 268 320 335 384 402 480 536 640 670 768 804 960 1005 1072 1280 1340 1608 1920 2010 2144 2680 3216 3840 4020 4288 5360 6432 8040 8576 10720 12864 16080 17152 21440 25728 32160 42880 51456 52609 64320 85760 105218 128640 157827 210436 257280 263045 315654 420872 526090 631308 789135 841744 1052180 1262616 1578270 1683488 2104360 2525232 3156540 3366976 3524803 4208720 5050464 6313080 6733952 7049606 8417440 10100928 10574409 12626160 13467904 14099212 16834880 17624015 20201856 21148818 25252320 28198424 33669760 35248030 40403712 42297636 50504640 52872045 56396848 67339520 70496060 84595272 101009280 105744090 112793696 140992120 169190544 202018560 211488180 225587392 281984240 338381088 422976360 451174784 563968480 676762176 845952720 902349568 1127936960 1353524352 1691905440 2255873920 2707048704 3383810880 4511747840 6767621760 13535243520