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11298411328 = 264117324889
BaseRepresentation
bin10101000010111000…
…00001001101000000
31002011101221202121211
422201130001031000
5141114343130303
65105044055504
7546661624501
oct124134011500
932141852554
1011298411328
114878727726
122233994594
1310b09ba2b9
1479278cba8
15461d8766d
hex2a1701340

11298411328 has 56 divisors (see below), whose sum is σ = 23100807240. Its totient is φ = 5479342080.

The previous prime is 11298411317. The next prime is 11298411329. The reversal of 11298411328 is 82311489211.

It can be written as a sum of positive squares in 4 ways, for example, as 1272384 + 11297138944 = 1128^2 + 106288^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11298411329) 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 7 ways as a sum of consecutive naturals, for example, 441508 + ... + 466396.

It is an arithmetic number, because the mean of its divisors is an integer number (412514415).

Almost surely, 211298411328 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 11298411328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11550403620).

11298411328 is an abundant number, since it is smaller than the sum of its proper divisors (11802395912).

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

11298411328 is a wasteful number, since it uses less digits than its factorization.

11298411328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25115 (or 25105 counting only the distinct ones).

The product of its digits is 27648, while the sum is 40.

The spelling of 11298411328 in words is "eleven billion, two hundred ninety-eight million, four hundred eleven thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 16 32 41 64 82 164 173 328 346 656 692 1312 1384 2624 2768 5536 7093 11072 14186 24889 28372 49778 56744 99556 113488 199112 226976 398224 453952 796448 1020449 1592896 2040898 4081796 4305797 8163592 8611594 16327184 17223188 32654368 34446376 65308736 68892752 137785504 176537677 275571008 353075354 706150708 1412301416 2824602832 5649205664 11298411328