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11323778886 = 2337293727919
BaseRepresentation
bin10101000101111001…
…10010011101000110
31002020011200120101000
422202330302131012
5141142341411021
65111351514130
7550420350420
oct124274623506
932204616330
1011323778886
114890a83752
122240388946
1310b602c8a4
14795cb3810
154641e8b26
hex2a2f32746

11323778886 has 128 divisors (see below), whose sum is σ = 30555648000. Its totient is φ = 3039265152.

The previous prime is 11323778881. The next prime is 11323778887. The reversal of 11323778886 is 68887732311.

11323778886 is a `hidden beast` number, since 113 + 2 + 377 + 88 + 86 = 666.

11323778886 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 (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11323778881) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 391635 + ... + 419553.

It is an arithmetic number, because the mean of its divisors is an integer number (238716000).

Almost surely, 211323778886 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11323778886, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15277824000).

11323778886 is an abundant number, since it is smaller than the sum of its proper divisors (19231869114).

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

11323778886 is a wasteful number, since it uses less digits than its factorization.

11323778886 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28003 (or 27997 counting only the distinct ones).

The product of its digits is 2709504, while the sum is 54.

The spelling of 11323778886 in words is "eleven billion, three hundred twenty-three million, seven hundred seventy-eight thousand, eight hundred eighty-six".

Divisors: 1 2 3 6 7 9 14 18 21 27 29 37 42 54 58 63 74 87 111 126 174 189 203 222 259 261 333 378 406 518 522 609 666 777 783 999 1073 1218 1554 1566 1827 1998 2146 2331 3219 3654 4662 5481 6438 6993 7511 9657 10962 13986 15022 19314 22533 27919 28971 45066 55838 57942 67599 83757 135198 167514 195433 202797 251271 390866 405594 502542 586299 753813 809651 1033003 1172598 1507626 1619302 1758897 2066006 2428953 3099009 3517794 4857906 5276691 5667557 6198018 7231021 7286859 9297027 10553382 11335114 14462042 14573718 17002671 18594054 21693063 21860577 27891081 29957087 34005342 43386126 43721154 51008013 55782162 59914174 65079189 89871261 102016026 130158378 153024039 179742522 195237567 209699609 269613783 306048078 390475134 419399218 539227566 629098827 808841349 1258197654 1617682698 1887296481 3774592962 5661889443 11323778886