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89169701040 = 24335719378389
BaseRepresentation
bin101001100001011101…
…1011010100010110000
322112011101112011002000
41103002323122202300
52430104420413130
6104544120054000
76304464644610
oct1230273324260
9275141464060
1089169701040
11348a8a76202
1215346904300
138540ac1314
14445c926a40
1524bd51c260
hex14c2eda8b0

89169701040 has 640 divisors, whose sum is σ = 379523328000. Its totient is φ = 18784825344.

The previous prime is 89169700999. The next prime is 89169701063. The reversal of 89169701040 is 4010796198.

It is a happy number.

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

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 127 ways as a sum of consecutive naturals, for example, 10625166 + ... + 10633554.

It is an arithmetic number, because the mean of its divisors is an integer number (593005200).

Almost surely, 289169701040 is an apocalyptic number.

89169701040 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 89169701040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189761664000).

89169701040 is an abundant number, since it is smaller than the sum of its proper divisors (290353626960).

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

89169701040 is a wasteful number, since it uses less digits than its factorization.

89169701040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8474 (or 8462 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The spelling of 89169701040 in words is "eighty-nine billion, one hundred sixty-nine million, seven hundred one thousand, forty".