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13344133152 = 253722836763
BaseRepresentation
bin11000110110101111…
…10101000000100000
31021102222100012101210
430123113311000200
5204312044230102
610044043030120
7651452155200
oct143327650040
937388305353
1013344133152
115728462819
122704b0b340
13134878269c
1490834a400
1553177c36c
hex31b5f5020

13344133152 has 72 divisors (see below), whose sum is σ = 40747278096. Its totient is φ = 3812608128.

The previous prime is 13344133147. The next prime is 13344133157. The reversal of 13344133152 is 25133144331.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13344133147) and next prime (13344133157).

It is not an unprimeable number, because it can be changed into a prime (13344133157) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1413678 + ... + 1423085.

It is an arithmetic number, because the mean of its divisors is an integer number (565934418).

Almost surely, 213344133152 is an apocalyptic number.

13344133152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13344133152 is an abundant number, since it is smaller than the sum of its proper divisors (27403144944).

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

13344133152 is a wasteful number, since it uses less digits than its factorization.

13344133152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2836790 (or 2836775 counting only the distinct ones).

The product of its digits is 12960, while the sum is 30.

Adding to 13344133152 its reverse (25133144331), we get a palindrome (38477277483).

The spelling of 13344133152 in words is "thirteen billion, three hundred forty-four million, one hundred thirty-three thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 147 168 196 224 294 336 392 588 672 784 1176 1568 2352 4704 2836763 5673526 8510289 11347052 17020578 19857341 22694104 34041156 39714682 45388208 59572023 68082312 79429364 90776416 119144046 136164624 139001387 158858728 238288092 272329248 278002774 317717456 417004161 476576184 556005548 635434912 834008322 953152368 1112011096 1668016644 1906304736 2224022192 3336033288 4448044384 6672066576 13344133152