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11446096384 = 2943796581
BaseRepresentation
bin10101010100011110…
…11001001000000000
31002112200211221102201
422222033121020000
5141420200041014
65131441322544
7553434133252
oct125217311000
932480757381
1011446096384
114944028698
122275336454
1311054885c8
147a8233cd2
1546ed0ae74
hex2aa3d9200

11446096384 has 80 divisors (see below), whose sum is σ = 23701518720. Its totient is φ = 5518356480.

The previous prime is 11446096381. The next prime is 11446096421. The reversal of 11446096384 is 48369064411.

It is not an unprimeable number, because it can be changed into a prime (11446096381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1735974 + ... + 1742554.

It is an arithmetic number, because the mean of its divisors is an integer number (296268984).

Almost surely, 211446096384 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 11446096384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11850759360).

11446096384 is an abundant number, since it is smaller than the sum of its proper divisors (12255422336).

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

11446096384 is an frugal number, since it uses more digits than its factorization.

11446096384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6721 (or 6705 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 46.

The spelling of 11446096384 in words is "eleven billion, four hundred forty-six million, ninety-six thousand, three hundred eighty-four".

Divisors: 1 2 4 8 16 32 43 64 79 86 128 158 172 256 316 344 512 632 688 1264 1376 2528 2752 3397 5056 5504 6581 6794 10112 11008 13162 13588 20224 22016 26324 27176 40448 52648 54352 105296 108704 210592 217408 282983 421184 434816 519899 565966 842368 869632 1039798 1131932 1684736 1739264 2079596 2263864 3369472 4159192 4527728 8318384 9055456 16636768 18110912 22355657 33273536 36221824 44711314 66547072 72443648 89422628 133094144 144887296 178845256 266188288 357690512 715381024 1430762048 2861524096 5723048192 11446096384