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112552399411200 = 211355275092539
BaseRepresentation
bin11001100101110110100101…
…110010010001100000000000
3112202111220102020100020100000
4121211312211302101200000
5104223024303222124300
61035213505233200000
732464433244532050
oct3145664562214000
9482456366306300
10112552399411200
1132954228261691
12107594aaa00000
134aa5851863c48
141db17cac8d560
15d02b2d674c00
hex665da5c91800

112552399411200 has 1728 divisors, whose sum is σ = 478862538336000. Its totient is φ = 25665607434240.

The previous prime is 112552399411141. The next prime is 112552399411217. The reversal of 112552399411200 is 2114993255211.

112552399411200 is a `hidden beast` number, since 1 + 1 + 2 + 5 + 5 + 23 + 9 + 9 + 411 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×1125523994112002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 44329419531 + ... + 44329422069.

It is an arithmetic number, because the mean of its divisors is an integer number (277119524500).

Almost surely, 2112552399411200 is an apocalyptic number.

112552399411200 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 112552399411200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239431269168000).

112552399411200 is an abundant number, since it is smaller than the sum of its proper divisors (366310138924800).

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

112552399411200 is an equidigital number, since it uses as much as digits as its factorization.

112552399411200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3102 (or 3065 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The spelling of 112552399411200 in words is "one hundred twelve trillion, five hundred fifty-two billion, three hundred ninety-nine million, four hundred eleven thousand, two hundred".