Search a number
-
+
11339065210368 = 293717717311969
BaseRepresentation
bin1010010100000001010011…
…1101000011011000000000
31111011000002221200000020210
42211000110331003120000
52441234401143212433
640041032235434120
72250135415003410
oct245002475033000
944130087600223
1011339065210368
11368196377aa35
121331705bb5940
1364336674a74c
142b2b56a70640
15149e4d750463
hexa5014f43600

11339065210368 has 640 divisors, whose sum is σ = 37579974727680. Its totient is φ = 2964785725440.

The previous prime is 11339065210331. The next prime is 11339065210393. The reversal of 11339065210368 is 86301256093311.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 947363488 + ... + 947375456.

It is an arithmetic number, because the mean of its divisors is an integer number (58718710512).

Almost surely, 211339065210368 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 11339065210368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18789987363840).

11339065210368 is an abundant number, since it is smaller than the sum of its proper divisors (26240909517312).

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

11339065210368 is a wasteful number, since it uses less digits than its factorization.

11339065210368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12158 (or 12142 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 48.

The spelling of 11339065210368 in words is "eleven trillion, three hundred thirty-nine billion, sixty-five million, two hundred ten thousand, three hundred sixty-eight".