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13455666288 = 2432533115669
BaseRepresentation
bin11001000100000010…
…10010110001110000
31021201202012200002200
430202001102301300
5210024122310123
610103105343200
7654305163531
oct144201226160
937652180080
1013455666288
115785411269
122736337b00
13136590381c
149190a0688
1553b45e143
hex322052c70

13455666288 has 120 divisors (see below), whose sum is σ = 38497848480. Its totient is φ = 4385671680.

The previous prime is 13455666269. The next prime is 13455666293. The reversal of 13455666288 is 88266655431.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2370718 + ... + 2376386.

It is an arithmetic number, because the mean of its divisors is an integer number (320815404).

Almost surely, 213455666288 is an apocalyptic number.

13455666288 is a gapful number since it is divisible by the number (18) 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 13455666288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19248924240).

13455666288 is an abundant number, since it is smaller than the sum of its proper divisors (25042182192).

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

13455666288 is a wasteful number, since it uses less digits than its factorization.

13455666288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6047 (or 6038 counting only the distinct ones).

The product of its digits is 8294400, while the sum is 54.

The spelling of 13455666288 in words is "thirteen billion, four hundred fifty-five million, six hundred sixty-six thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 53 72 106 144 159 212 311 318 424 477 622 636 848 933 954 1244 1272 1866 1908 2488 2544 2799 3732 3816 4976 5598 5669 7464 7632 11196 11338 14928 16483 17007 22392 22676 32966 34014 44784 45352 49449 51021 65932 68028 90704 98898 102042 131864 136056 148347 197796 204084 263728 272112 296694 300457 395592 408168 593388 600914 791184 816336 901371 1186776 1201828 1763059 1802742 2373552 2403656 2704113 3526118 3605484 4807312 5289177 5408226 7052236 7210968 10578354 10816452 14104472 14421936 15867531 21156708 21632904 28208944 31735062 42313416 43265808 63470124 84626832 93442127 126940248 186884254 253880496 280326381 373768508 560652762 747537016 840979143 1121305524 1495074032 1681958286 2242611048 3363916572 4485222096 6727833144 13455666288