Search a number
-
+
13353205424 = 24131789151281
BaseRepresentation
bin11000110111110100…
…11011111010110000
31021110121102010012212
430123322123322300
5204321410033144
610045005311252
7651622242026
oct143372337260
937417363185
1013353205424
115732599969
122707b65528
13134a60abb0
1490962c716
1553247049e
hex31be9beb0

13353205424 has 160 divisors (see below), whose sum is σ = 30136821120. Its totient is φ = 5677056000.

The previous prime is 13353205421. The next prime is 13353205433. The reversal of 13353205424 is 42450235331.

It is not an unprimeable number, because it can be changed into a prime (13353205421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47520164 + ... + 47520444.

It is an arithmetic number, because the mean of its divisors is an integer number (188355132).

Almost surely, 213353205424 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 13353205424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15068410560).

13353205424 is an abundant number, since it is smaller than the sum of its proper divisors (16783615696).

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

13353205424 is a wasteful number, since it uses less digits than its factorization.

13353205424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 559 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 32.

The spelling of 13353205424 in words is "thirteen billion, three hundred fifty-three million, two hundred five thousand, four hundred twenty-four".

Divisors: 1 2 4 8 13 16 17 26 34 52 68 89 104 136 151 178 208 221 272 281 302 356 442 562 604 712 884 1124 1157 1208 1424 1513 1768 1963 2248 2314 2416 2567 3026 3536 3653 3926 4496 4628 4777 5134 6052 7306 7852 9256 9554 10268 12104 13439 14612 15704 18512 19108 19669 20536 24208 25009 26878 29224 31408 33371 38216 39338 41072 42431 50018 53756 58448 62101 66742 76432 78676 84862 100036 107512 124202 133484 157352 169724 174707 200072 215024 228463 248404 266968 314704 325117 339448 349414 400144 425153 456926 496808 533936 551603 650234 678896 698828 721327 850306 913852 993616 1103206 1300468 1397656 1442654 1700612 1827704 2206412 2600936 2795312 2885308 2970019 3401224 3655408 3776359 4412824 5201872 5526989 5770616 5940038 6802448 7552718 8825648 9377251 11053978 11541232 11880076 15105436 18754502 22107956 23760152 30210872 37509004 44215912 47520304 49092667 60421744 64198103 75018008 88431824 98185334 128396206 150036016 196370668 256792412 392741336 513584824 785482672 834575339 1027169648 1669150678 3338301356 6676602712 13353205424