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996661411200 = 27335273132199
BaseRepresentation
bin11101000000011011010…
…01100011110110000000
310112021120001021112122000
432200031221203312000
5112312130310124300
62041505424544000
7132002125134000
oct16401551436600
93467501245560
10996661411200
113547554247a4
121411aba82000
1372ca56c5100
143634aca4000
151add35dec00
hexe80da63d80

996661411200 has 2304 divisors, whose sum is σ = 4629168000000. Its totient is φ = 209227898880.

The previous prime is 996661411181. The next prime is 996661411219. The reversal of 996661411200 is 2114166699.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (996661411181) and next prime (996661411219).

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 (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 5008348701 + ... + 5008348899.

It is an arithmetic number, because the mean of its divisors is an integer number (2009187500).

Almost surely, 2996661411200 is an apocalyptic number.

996661411200 is a gapful number since it is divisible by the number (90) 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 996661411200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2314584000000).

996661411200 is an abundant number, since it is smaller than the sum of its proper divisors (3632506588800).

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

996661411200 is a wasteful number, since it uses less digits than its factorization.

996661411200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

Adding to 996661411200 its reverse (2114166699), we get a palindrome (998775577899).

The spelling of 996661411200 in words is "nine hundred ninety-six billion, six hundred sixty-one million, four hundred eleven thousand, two hundred".