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13448106288 = 243293389627
BaseRepresentation
bin11001000011001000…
…11101000100110000
31021201012222120201200
430201210131010300
5210020203400123
610102235331200
7654154005651
oct144144350460
937635876650
1013448106288
115781118331
1227338b0b00
131364187756
14918093528
1553a969143
hex32191d130

13448106288 has 30 divisors (see below), whose sum is σ = 37636020084. Its totient is φ = 4482702048.

The previous prime is 13448106239. The next prime is 13448106289. The reversal of 13448106288 is 88260184431.

13448106288 is a `hidden beast` number, since 1 + 3 + 4 + 4 + 8 + 10 + 628 + 8 = 666.

It is a super-3 number, since 3×134481062883 (a number of 31 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (13448106289) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 46694670 + ... + 46694957.

Almost surely, 213448106288 is an apocalyptic number.

13448106288 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13448106288 is an abundant number, since it is smaller than the sum of its proper divisors (24187913796).

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

13448106288 is a wasteful number, since it uses less digits than its factorization.

13448106288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93389641 (or 93389632 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 13448106288 in words is "thirteen billion, four hundred forty-eight million, one hundred six thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 93389627 186779254 280168881 373558508 560337762 747117016 840506643 1120675524 1494234032 1681013286 2241351048 3362026572 4482702096 6724053144 13448106288