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11688192000 = 21133531989
BaseRepresentation
bin10101110001010101…
…11010100000000000
31010011120101200012000
422320222322200000
5142414134121000
65211450304000
7562433664342
oct127052724000
933146350160
1011688192000
114a58752711
122322428000
131143691254
147cc453292
154861cd000
hex2b8aba800

11688192000 has 768 divisors, whose sum is σ = 45995040000. Its totient is φ = 2919628800.

The previous prime is 11688191969. The next prime is 11688192001. The reversal of 11688192000 is 29188611.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×116881920002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (11688192001) 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 63 ways as a sum of consecutive naturals, for example, 131327956 + ... + 131328044.

It is an arithmetic number, because the mean of its divisors is an integer number (59889375).

Almost surely, 211688192000 is an apocalyptic number.

11688192000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11688192000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22997520000).

11688192000 is an abundant number, since it is smaller than the sum of its proper divisors (34306848000).

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

11688192000 is an equidigital number, since it uses as much as digits as its factorization.

11688192000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 36.

The spelling of 11688192000 in words is "eleven billion, six hundred eighty-eight million, one hundred ninety-two thousand".