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11429015248 = 2473727110177
BaseRepresentation
bin10101010010011100…
…01110111011010000
31002111111201010112001
422221032032323100
5141401311441443
65130031243344
7553136012110
oct125116167320
932444633461
1011429015248
114935421352
12226b679554
131101a87921
147a5c69040
1546d584d4d
hex2a938eed0

11429015248 has 80 divisors (see below), whose sum is σ = 26089552384. Its totient is φ = 4747714560.

The previous prime is 11429015233. The next prime is 11429015251. The reversal of 11429015248 is 84251092411.

11429015248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 1117936 + ... + 1128112.

Almost surely, 211429015248 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 11429015248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13044776192).

11429015248 is an abundant number, since it is smaller than the sum of its proper divisors (14660537136).

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

11429015248 is a wasteful number, since it uses less digits than its factorization.

11429015248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10500 (or 10494 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 37.

The spelling of 11429015248 in words is "eleven billion, four hundred twenty-nine million, fifteen thousand, two hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 37 56 74 112 148 259 271 296 518 542 592 1036 1084 1897 2072 2168 3794 4144 4336 7588 10027 10177 15176 20054 20354 30352 40108 40708 70189 71239 80216 81416 140378 142478 160432 162832 280756 284956 376549 561512 569912 753098 1123024 1139824 1506196 2635843 2757967 3012392 5271686 5515934 6024784 10543372 11031868 19305769 21086744 22063736 38611538 42173488 44127472 77223076 102044779 154446152 204089558 308892304 408179116 714313453 816358232 1428626906 1632716464 2857253812 5714507624 11429015248