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89345097660 = 2235721317199691
BaseRepresentation
bin101001100110101100…
…0011111111110111100
322112121121120020000010
41103031120133332330
52430434321111120
6105013343303220
76312024541200
oct1231530377674
9275547506003
1089345097660
1134988a84295
12153955aab10
13856b242ac0
144477d42b00
1524cdb167e0
hex14cd61ffbc

89345097660 has 576 divisors, whose sum is σ = 333980236800. Its totient is φ = 17627258880.

The previous prime is 89345097619. The next prime is 89345097661. The reversal of 89345097660 is 6679054398.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 89345097660.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89345097661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 129297915 + ... + 129298605.

It is an arithmetic number, because the mean of its divisors is an integer number (579826800).

Almost surely, 289345097660 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89345097660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166990118400).

89345097660 is an abundant number, since it is smaller than the sum of its proper divisors (244635139140).

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

89345097660 is a wasteful number, since it uses less digits than its factorization.

89345097660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 946 (or 937 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 57.

The spelling of 89345097660 in words is "eighty-nine billion, three hundred forty-five million, ninety-seven thousand, six hundred sixty".