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11553803328 = 2631915720173
BaseRepresentation
bin10101100001010100…
…10000110001000000
31002211012112000120210
422300222100301000
5142130233201303
65150250034120
7556212464544
oct126052206100
932735460523
1011553803328
1149999034a1
1222a5418940
13112189a022
147b866da24
154794d4203
hex2b0a90c40

11553803328 has 112 divisors (see below), whose sum is σ = 32384918720. Its totient is φ = 3625150464.

The previous prime is 11553803299. The next prime is 11553803329. The reversal of 11553803328 is 82330835511.

It is not an unprimeable number, because it can be changed into a prime (11553803329) 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 15 ways as a sum of consecutive naturals, for example, 562650 + ... + 582822.

It is an arithmetic number, because the mean of its divisors is an integer number (289151060).

Almost surely, 211553803328 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 11553803328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16192459360).

11553803328 is an abundant number, since it is smaller than the sum of its proper divisors (20831115392).

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

11553803328 is a wasteful number, since it uses less digits than its factorization.

11553803328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20364 (or 20354 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 39.

The spelling of 11553803328 in words is "eleven billion, five hundred fifty-three million, eight hundred three thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 152 157 192 228 304 314 456 471 608 628 912 942 1216 1256 1824 1884 2512 2983 3648 3768 5024 5966 7536 8949 10048 11932 15072 17898 20173 23864 30144 35796 40346 47728 60519 71592 80692 95456 121038 143184 161384 190912 242076 286368 322768 383287 484152 572736 645536 766574 968304 1149861 1291072 1533148 1936608 2299722 3066296 3167161 3873216 4599444 6132592 6334322 9198888 9501483 12265184 12668644 18397776 19002966 24530368 25337288 36795552 38005932 50674576 60176059 73591104 76011864 101349152 120352118 152023728 180528177 202698304 240704236 304047456 361056354 481408472 608094912 722112708 962816944 1444225416 1925633888 2888450832 3851267776 5776901664 11553803328