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89369161200 = 2432521112831759
BaseRepresentation
bin101001100111011010…
…0010010110111110000
322112200021211202222100
41103032310102313300
52431012001124300
6105020003140400
76312436223244
oct1231664226760
9275607752870
1089369161200
11349a061a610
12153a1674700
138573219997
14447b208424
1524d0cbb700
hex14ced12df0

89369161200 has 360 divisors, whose sum is σ = 338786173440. Its totient is φ = 21636057600.

The previous prime is 89369161171. The next prime is 89369161201. The reversal of 89369161200 is 216196398.

It is a happy number.

89369161200 is a `hidden beast` number, since 89 + 369 + 1 + 6 + 1 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-3 number, since 3×893691612003 (a number of 34 digits) contains 333 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 not an unprimeable number, because it can be changed into a prime (89369161201) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 50805921 + ... + 50807679.

It is an arithmetic number, because the mean of its divisors is an integer number (941072704).

Almost surely, 289369161200 is an apocalyptic number.

89369161200 is a gapful number since it is divisible by the number (80) 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 89369161200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169393086720).

89369161200 is an abundant number, since it is smaller than the sum of its proper divisors (249417012240).

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

89369161200 is a wasteful number, since it uses less digits than its factorization.

89369161200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3077 (or 3063 counting only the distinct ones).

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

The spelling of 89369161200 in words is "eighty-nine billion, three hundred sixty-nine million, one hundred sixty-one thousand, two hundred".