Search a number
-
+
11495241034368 = 2737131372401181
BaseRepresentation
bin1010011101000111000111…
…0000100010101010000000
31111200221020010000212222120
42213101301300202222000
53001314223201044433
640240501341404240
72264334534416430
oct247216160425200
944627203025876
1011495241034368
11373211697a063
121357a30b69680
13654cc5636b20
142ba53071c2c0
1514e03e5e87b3
hexa7471c22a80

11495241034368 has 256 divisors, whose sum is σ = 37854922371840. Its totient is φ = 3009581383680.

The previous prime is 11495241034357. The next prime is 11495241034391. The reversal of 11495241034368 is 86343014259411.

It is a self number, because there is not a number n which added to its sum of digits gives 11495241034368.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3586738 + ... + 5987918.

It is an arithmetic number, because the mean of its divisors is an integer number (147870790515).

Almost surely, 211495241034368 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 11495241034368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18927461185920).

11495241034368 is an abundant number, since it is smaller than the sum of its proper divisors (26359681337472).

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

11495241034368 is a wasteful number, since it uses less digits than its factorization.

11495241034368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2401355 (or 2401343 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 51.

The spelling of 11495241034368 in words is "eleven trillion, four hundred ninety-five billion, two hundred forty-one million, thirty-four thousand, three hundred sixty-eight".