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11488328808 = 23311711095623
BaseRepresentation
bin10101011001100000…
…11111110001101000
31002122122022120102120
422230300133301220
5142012003010213
65135550431240
7554456116665
oct125460376150
932578276376
1011488328808
114965953520
122287502520
1311111542c8
147adaa8a6c
1547389e423
hex2acc1fc68

11488328808 has 128 divisors (see below), whose sum is σ = 32070297600. Its totient is φ = 3400185600.

The previous prime is 11488328779. The next prime is 11488328827. The reversal of 11488328808 is 80882388411.

11488328808 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 2040285 + ... + 2045907.

It is an arithmetic number, because the mean of its divisors is an integer number (250549200).

Almost surely, 211488328808 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 11488328808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16035148800).

11488328808 is an abundant number, since it is smaller than the sum of its proper divisors (20581968792).

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

11488328808 is a wasteful number, since it uses less digits than its factorization.

11488328808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5823 (or 5819 counting only the distinct ones).

The product of its (nonzero) digits is 786432, while the sum is 51.

The spelling of 11488328808 in words is "eleven billion, four hundred eighty-eight million, three hundred twenty-eight thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 71 88 109 132 142 213 218 264 284 327 426 436 568 654 781 852 872 1199 1308 1562 1704 2343 2398 2616 3124 3597 4686 4796 5623 6248 7194 7739 9372 9592 11246 14388 15478 16869 18744 22492 23217 28776 30956 33738 44984 46434 61853 61912 67476 85129 92868 123706 134952 170258 185559 185736 247412 255387 340516 371118 399233 494824 510774 612907 681032 742236 798466 1021548 1197699 1225814 1484472 1596932 1838721 2043096 2395398 2451628 3193864 3677442 4391563 4790796 4903256 6741977 7354884 8783126 9581592 13174689 13483954 14709768 17566252 20225931 26349378 26967908 35132504 40451862 43516397 52698756 53935816 80903724 87032794 105397512 130549191 161807448 174065588 261098382 348131176 478680367 522196764 957360734 1044393528 1436041101 1914721468 2872082202 3829442936 5744164404 11488328808