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89380649600 = 27521123113977
BaseRepresentation
bin101001100111110000…
…0000111101010000000
322112201002110110002122
41103033200013222000
52431022421241400
6105021053303412
76312635662154
oct1231740075200
9275632413078
1089380649600
11349a7056a60
12153a5494b68
13857570cb58
14447c959064
1524d1cda685
hex14cf807a80

89380649600 has 384 divisors, whose sum is σ = 253827146880. Its totient is φ = 30782259200.

The previous prime is 89380649587. The next prime is 89380649663. The reversal of 89380649600 is 694608398.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 91484312 + ... + 91485288.

It is an arithmetic number, because the mean of its divisors is an integer number (661008195).

Almost surely, 289380649600 is an apocalyptic number.

89380649600 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 89380649600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126913573440).

89380649600 is an abundant number, since it is smaller than the sum of its proper divisors (164446497280).

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

89380649600 is a wasteful number, since it uses less digits than its factorization.

89380649600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1148 (or 1131 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 53.

The spelling of 89380649600 in words is "eighty-nine billion, three hundred eighty million, six hundred forty-nine thousand, six hundred".