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13433018368 = 211721143283
BaseRepresentation
bin11001000001010101…
…11001100000000000
31021200011121000222211
430200222321200000
5210002323041433
610100540111504
7653611525600
oct144052714000
937604530884
1013433018368
115773652580
12272a835594
1313610040a3
14916086c00
155394888cd
hex320ab9800

13433018368 has 288 divisors, whose sum is σ = 35001046080. Its totient is φ = 5093867520.

The previous prime is 13433018359. The next prime is 13433018369. The reversal of 13433018368 is 86381033431.

It is a self number, because there is not a number n which added to its sum of digits gives 13433018368.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13433018369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47466355 + ... + 47466637.

It is an arithmetic number, because the mean of its divisors is an integer number (121531410).

Almost surely, 213433018368 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 13433018368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17500523040).

13433018368 is an abundant number, since it is smaller than the sum of its proper divisors (21568027712).

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

13433018368 is a wasteful number, since it uses less digits than its factorization.

13433018368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 40.

The spelling of 13433018368 in words is "thirteen billion, four hundred thirty-three million, eighteen thousand, three hundred sixty-eight".