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13363200018 = 2347103191599
BaseRepresentation
bin11000111001000001…
…00100000000010010
31021111022012220020000
430130200210000102
5204331434400033
610050003430430
7652103216550
oct143440440022
937438186200
1013363200018
1157381a5a63
12270b385416
13134c6ca15c
1490aab0bd0
15533296a13
hex31c824012

13363200018 has 160 divisors (see below), whose sum is σ = 34792243200. Its totient is φ = 3754913760.

The previous prime is 13363200017. The next prime is 13363200043. The reversal of 13363200018 is 81000236331.

It is a happy number.

13363200018 is a `hidden beast` number, since 1 + 336 + 320 + 0 + 0 + 1 + 8 = 666.

It is a super-2 number, since 2×133632000182 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 13363199964 and 13363200000.

It is not an unprimeable number, because it can be changed into a prime (13363200017) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 22308883 + ... + 22309481.

It is an arithmetic number, because the mean of its divisors is an integer number (217451520).

Almost surely, 213363200018 is an apocalyptic number.

13363200018 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13363200018, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17396121600).

13363200018 is an abundant number, since it is smaller than the sum of its proper divisors (21429043182).

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

13363200018 is a wasteful number, since it uses less digits than its factorization.

13363200018 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 914 (or 905 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 13363200018 its reverse (81000236331), we get a palindrome (94363436349).

The spelling of 13363200018 in words is "thirteen billion, three hundred sixty-three million, two hundred thousand, eighteen".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 103 126 162 189 191 206 309 378 382 567 573 599 618 721 927 1134 1146 1198 1337 1442 1719 1797 1854 2163 2674 2781 3438 3594 4011 4193 4326 5157 5391 5562 6489 8022 8343 8386 10314 10782 12033 12579 12978 15471 16173 16686 19467 19673 24066 25158 30942 32346 36099 37737 38934 39346 48519 58401 59019 61697 72198 75474 97038 108297 113211 114409 116802 118038 123394 137711 177057 185091 216594 226422 228818 275422 339633 343227 354114 370182 413133 431879 531171 555273 679266 686454 800863 826266 863758 1029681 1062342 1110546 1239399 1295637 1593513 1601726 1665819 2059362 2402589 2478798 2591274 3089043 3187026 3331638 3718197 3886911 4805178 4997457 6178086 7207767 7436394 7773822 9267129 9994914 11154591 11660733 11784127 14415534 18534258 21623301 22309182 23321466 23568254 34982199 35352381 43246602 64869903 69964398 70704762 82488889 106057143 129739806 164977778 212114286 247466667 318171429 494933334 636342858 742400001 954514287 1484800002 1909028574 2227200003 4454400006 6681600009 13363200018